ethics homwork 6 ex

Find an ethical issue which occurred within the last year or find an ethical issue faced by a fictional character.

TITLE – type the name of the person or article title and the philosophy you are applying.

Example – President Bush – Kant

If you use an article be sure your article was published within the last year.

 

  • SUMMARIZE – In paragraph one give a summary of the article/person/character, in case I am not familiar with them.
  • ETHICAL ISSUE – State the ethical issue that person faced – Use proper format – Make it bold print and a SHOULD QUESTION.
  • APPLICATION – Using the steps outlined in your text, apply each step of Kantian Ethics to the situation. Fully show your application.  
  •     CONCLUSION (last step in the application) – Choose the best option. If that person were a true Kantian  – what would that person have done. What would the Kantian theory say is the morally right or best thing to do?
  • See the sample format below

 

SAMPLE FORMAT – Apply Kantian Ethics 

  • What should X do about ________________?

    1.     List possible options.  

    Options

    1.    X could ____________________________________.

    2.    X could ____________________________________.

    3.    X could ____________________________________.

    4.    X could ____________________________________.

     

    Apply Categorical Imperative/Universality

    1.    X could ____________________________________.  Would I want all people, consistently, universally to _____________________?  Yes

     

    Apply universality to all of the options. 

    Apply Respect (to remaining options) Is X exploiting someone (using someone for her own benefit)

    1.    X could ____________________________________.  Is X exploiting anyone (using someone as a means to an end for her own gain)?  No (so this is a good option)

     

    Apply respect to all of the options. 

    Conclusion – If X were a Kantian she could use options 1, 3 or 4 (or some combination of all three if necessary).


 

Computer abuse by employees is an ongoing worry to businesses. A study revealed the data shown below. At α = .02, is the frequency of disciplinary action independent of the abuser’s level of privilege? Computer Abuse I

1.
award:

10.00  points
Computer  abuse  by  employees  is  an  ongoing  worry  to  businesses.  A  study  revealed  the  data  shown  below.
At  α  =  .02,  is  the  frequency  of  disciplinary  action  independent  of  the  abuser’s  level  of  privilege?
   Computer  Abuse  Incidents  Cross-­Tabulated  by  Privilege  and  Punishment
   Level  of  Privilege
Disciplined
Not  Disciplined
Row  Total
   Low
20
2    
22
   Medium
25
10
35
   High
38
12
50
   
   Col  Total
83
24    
107    
   
     
Click  here  for  the  Excel  Data  File

       

Calculate   the   Chi-­square   test   statistic,   degrees   of   freedom   and   the   p-­value.   (Round   your   test   statistic
value  to  2  decimal  places  and  the  p-­value  to  4  decimal  places.)
   
   Test  statistic
   d.f.
   p-­value

 
   
   
   

(a) The  hypothesis  for  the  given  issue  is  H0:  Privilege  Level  and  Disciplinary  Action  are  independent.
     
No
 
Yes
(c) Find  the  critical  value  for  Chi-­Square.  Refer  to  the   chi-­square  table.   (Round   your   answers   to   3   decimal
places.)
   Critical  value

   

(d) We  can  reject  the  null  hypothesis  and  find  dependence.  Is  the  statement  true  or  false?
     

 

TRUE
FALSE
Worksheet

Learning  Objective:  15-­01  Recognize  a
contingency  table.

Learning  Objective:  15-­03  Perform  a  chi-­square
test  for  independence  on  a  contingency  table.

Difficulty:  2-­Medium

Learning  Objective:  15-­02  Find  degrees  of
freedom  and  use  the  chi-­square  table  of  critical
values.

Learning  Objective:  15-­06  Use  computer
software  to  perform  a  chi-­square  GOF  test  for
normality.

 
 

 
[The  following  information  applies  to  the  questions  displayed  below.]

At  a  local  supermarket  receiving  dock,  the  number  of  truck  arrivals  per  day  is  recorded  for  100  days.
       

   Arrivals  per  Day  at  a  Loading  Dock
 
   
 
0
1
2
   Frequency
8
24
25

Number  of  Arrivals
3
21

4
8

5
7

6
6

7
1

Total
100

       
Click  here  for  the  Excel  Data  File

 2.

 

award:

10.00  points
(a) Estimate  the  mean  from  the  sample.  (Round  your  answer  to  2  decimal  places.)
   Sample  mean
Worksheet

   
Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

 

 3.

award:

10.00  points

 

(b-­1) Carry   out   the   chi-­square   test,   combining   end   categories   as   needed   to   ensure   that   all   expected
frequencies  are  at  least  five.  (Perform  a  Poisson  Goodness  of  Fit  test  for  alpha  =  .01,  combining
the   last   three   categories   into   a   single   category   for   5   or   more.   Do   not   round   your   intermediate
calculations.  Round  your  answers  to  4  decimal  places.)
   
   Chi-­square
   d.f.
   p-­value

Worksheet

   
   
   

Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

 

 4.

 

award:

10.00  points
(b-­2) Truck  arrivals  per  day  follow  a  Poisson  process.
False
True
Multiple  Choice

Difficulty:  3-­Hard

Learning  Objective:  15-­05  Explain  the  GOF  test
for  a  Poisson  distribution.

MAT 540 Week 11 Final Exam

 

1. Which of the following could be a linear programming objective function?

 

2. Which of the following could not be a linear programming problem constraint?

 

3. Types of integer programming models are _____________

 

4. The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat.

Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of

 

5. The reduced cost (shadow price) for a positive decision variable is 0

TRUE/FALSE

 

6. Decision variables

 

 7. A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes., and the range of feasibility is from 130 minutes to 340 minutes, providing two additional machine hours will result in the

 

8. Decision models are mathematical symbols representing levels of activity.

TRUE/FALSE

 

9. The integer programming model for a transportation problem has constraints for supply at each source and demand at each destination.

TRUE/FALSE

 

10. In a transportation problem, items are allocated from sources to destinations

 

11. In a media selection problem, the estimated number of customers reached by a given media would generally be specified in the _________________. Even if these media exposure estimates are correct, using media exposure as a surrogate does not lead to maximization of ___.

 

12. ____________ solutions are ones that satisfy all the constraints simultaneously.

 

13. In a linear programming problem, a valid objective function can be represented as

 

14. The standard form for the computer solution of a linear programming problem requires all variables to the right and all numerical values to the left of the inequality or equality sign

TRUE/FALSE

 

15. Constraints representing fractional relationships such as the production quantity of product 1 must be at least twice as much as the production quantity of products 2, 3 and 4 combined cannot be input into computer software packages because the left side of the inequality does not consist of consists of pure numbers.

TRUE/FALSE

 

16. In a balanced transportation model where supply equals demand

 

17. The objective function is a linear relationship reflecting the objective of an operation.

TRUE/FALSE

 

18. The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of Lime chips are $0.40, and for a bag of Vinegar chips $0.50. Which of the following is not a feasible production combination?

 

19. The linear programming model for a transportation problem has constraints for supply at each source and demand at each destination.

TRUE/FALSE

 

 20. For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from

 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the

 

21. In a total integer model, all decision variables have integer solution values.

TRUE/FALSE

 

23. Linear programming is a model consisting of linear relationships representing a firm’s decisions given an objective and resource constraints.

TRUE/FALSE

 

24. When using linear programming model to solve the “diet” problem, the objective is generally to maximize profit.

TRUE/FALSE

 

25. In a balanced transportation model where supply equals demand, all constraints are equalities.

TRUE/FALSE

 

26. In a transportation problem, items are allocated from sources to destinations at a minimum cost.

TRUE/FALSE

 

27. Mallory Furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150.  Which of the following is not a feasible purchase combination?

 

28. In a mixed integer model, some solution values for decision variables are integer and others can be non-integer.

TRUE/FALSE

 

29. In a 0 – 1 integer model, the solution values of the decision variables are 0 or 1.

TRUE/FALSE

 

30. Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem.

TRUE/FALSE

 

31. When the right-hand sides of 2 constraints are both increased by 1 unit, the value of the objective function will be adjusted by the sum of the constraints’ prices.

TRUE/FALSE

 

32. The transportation method assumes that

 

33. A constraint is a linear relationship representing a restriction on decision making.

TRUE/FALSE

 

34. When formulating a linear programming model on a spreadsheet, the measure of performance is located in the target cell.

TRUE/FALSE

 

35. The linear programming model for a transportation problem has constraints for supply at each ________ and _________ at each destination.

 

 

36. The 3 types of integer programming models are total, 0 – 1, and mixed.

TRUE/FALSE

 

37. In using rounding of a linear programming model to obtain an integer solution, the solution is

 

 

38. If we use Excel to solve a linear programming problem instead of QM for Windows,

 then the data input requirements are likely to be much less tedious and time consuming.

TRUE/FALSE

 

39. In a _______ integer model, some solution values for decision variables are integer and others can be non-integer.

 

40. Which of the following is not an integer linear programming problem?

 

 

 

 

week 4 review

1.
Find an equation of the line that passes through the points (1, 4) and ( -7, -4)

2.

Consider the linear programming problem.

Sketch the feasible set for the linear programming problem.

3.

Maximize

P= 10x + 12y

subject to

4.

Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line.

5.

Determine whether the given simplex table is in the final form. If so, find the solution to the associated regular linear programming problem.

6.

Solve the system of linear equations, using the Gauss-Jordan elimination method.

7.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

8.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

9.
If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

10.

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b.

11.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

12.

Solve the linear programming problem by the simplex method.

13.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

14.

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

15.
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

y = x +

 


y = x –

 


y = –x –

 


y = –x +

 

16.

Solve the system of linear equations using the Gauss-Jordan elimination method.

17.

Indicate whether the matrix is in row-reduced form.

18.

Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y

5.8

6.1

7.2

8.3

9

Year, x

1

2

3

4

5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.



19.

Find the pivot element to be used in the next iteration of the simplex method.

20.

Consider the linear programming problem.

Sketch the feasible set for the linear programming problem.

21.

Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope – 1.

22.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

23.

Solve the system of linear equations using the Gauss-Jordan elimination method.

24.

Find the slope of the line that passes through the given pair of points.

(2, 2) and (8, 5)

25.

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

one and only one solution


one and only one solution


one and only one solution


infinitely many solutions

STAT 200 FALL 2014

1.         Determine whether the given value is a statistic or parameter.                         (4 pts)

 

(a)     In a STAT 200 student survey, 20% of the respondents said that they had to take time off from work to study for the course.

 

(b)     The average lifetime of all street lights in UMUC Academic Center is 20,000 hours.

 

 

2.         True of False.                                                                                                  (8 pts)

 

(a)    Mean is a better measure of center than median because mean is not affected by extreme values from a data set.

 

(b)   If the variance from a data set is zero, then all the observations in this data set are the same.

 

(c)    It is possible that a data set does not have a mode.

 

(d)  P(AandA)   1, whereAis the complement ofA.

 

 

 

 

Refer to the following frequency distribution for Questions 3, 4, 5, and 6. Show all work. Just the answer, without supporting work, will receive no credit.

 

The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon.

 

 

 

Checkout Time (in minutes)

 

Frequency

 

 

 

 

 

 

 

1.0 – 1.9

 

6

 

 

 

2.0 – 2.9

 

5

 

 

 

3.0 – 3.9

 

4

 

 

 

4.0 – 4.9

 

3

 

 

 

5.0 – 5.9

 

2

 

 

 

STAT200 : Introduction to Statistics   Final Examination, Fall 2014 OL1                         Page 3 of 6

 

 

 

3.

What percentage of the checkout times was at least 4 minutes?

(5 pts)

4.

Calculate the mean of this frequency distribution.

(5 pts)

5.                  Calculate the standard deviation of this frequency distribution. (Round the answer to two

 

decimal places)                                                                                                (10 pts)

 

6.                  Assume that the smallest observation in this dataset is 1.2 minutes. Suppose this observation were incorrectly recorded as 0.12 instead of 1.2. Will the mean increase,

 

decrease, or remain the same? Will the median increase, decrease or remain the same? Explain your answers. (5 pts)

 

Refer to the following data to answer questions 7 and 8. Show all work. Just the answer, without supporting work, will receive no credit.

 

A random sample of STAT200 weekly study times in hours is as follows:

 

1 13 15 18 20

 

7.         Find the standard deviation. (Round the answer to two decimal places)          (10 pts)

8.                  Are any of these study times considered unusual based on the Range Rule of Thumb?

 

Show work and explain.                                                                                  (5 pts)

 

Refer to the following information for Questions 9, 10 and 11. Show all work. Just the answer, without supporting work, will receive no credit.

 

Consider selecting one card at a time without replacement from a 52-card deck. Let event A be the first card is a heart, and event B be the second card is a heart.

 

9.                  What is the probability that the first card is a heart and the second card is also a heart?

(Express the answer in simplest fraction form)                                                            (8 pts)

 

10.              What is the probability that the second card is a heart, given that the first card is a heart?

 

(Express the answer in simplest fraction form)

(8 pts)

11.

Are A and B independent? Why or why not?

(2 pts)

 

 

 

 

Refer to the following information for Questions 12 and 13. Show all work. Just the answer, without supporting work, will receive no credit.

 

There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking STAT200, and 100 students are taking PSYC300. There are 50 students taking both courses.

 

12.              What is the probability that a randomly selected junior is in neither of the two courses?

 

(10 pts) 13. What is the probability that a randomly selected junior takes only one course? (10 pts)

 

 

 

Refer to the following information for Questions 14, and 15. Show all work. Just the answer, without supporting work, will receive no credit.

STAT200 : Introduction to Statistics   Final Examination, Fall 2014 OL1                         Page 4 of 6

 

 

UMUC STAT Club must appoint a president, a vice president, and a treasurer. It must also select three members for the STAT Olympics team. There are 10 qualified candidates, and officers can also be on the STAT Olympics team.

 

14.

How many different ways can the officers be appointed?

(10 pts)

15.

How many different ways can the STAT Olympics team be selected?

(10 pts)

 

 

 

Questions 16 and 17 involve the random variable x with probability distribution given below.

 

Show all work. Just the answer, without supporting work, will receive no credit.

 

 

x

-1

 

0

1

2

5

 

 

P(x)

0.1

 

0.1

0.4

0.1

0.3

 

 

 

 

 

 

 

 

 

 

16.

Determine the expected value of x.

 

 

 

 

(5 pts)

17.

Determine the standard deviation of x.(Round the answer to two decimal places)

(10 pts)

 

Consider the following situation for Questions 18, 19 and 20. Show all work. Just the answer, without supporting work, will receive no credit.

 

Mimi made random guesses at 5 true-or-false questions in a STAT 200 pop quiz. Let random number X be the number of correct answers Mimi got. As we know, the distribution of X is a binomial probability distribution. Please answer the following questions:

 

18.              What is the number of trials (n), probability of successes (p) and probability of failures (q),

 

 

respectively?

 

(5 pts)

19.

Find the probability that she got at least 3 correct answers

.

(10 pts)

 

20.              Find the mean and standard deviation for the probability distribution. (Round the answer to two

decimal places)                                                                                                            (10 pts)

 

 

 

 

Refer to the following information for Questions 21, 22, and 23. Show all work. Just the answer, without supporting work, will receive no credit.

 

The heights of dogwood trees are normally distributed with a mean of 9 feet and a standard deviation of 3 feet.

 

21.              What is the probability that a randomly selected dogwood tree is between 6 and 15 feet tall?

 

 

 

(10 pts)

22.

Find the 80th percentile of the dogwood tree height distribution.

(5 pts)

23.              If a random sample of 144 dogwood trees is selected, what is the standard deviation of the sample

 

mean?                                                                                                                          (5 pts)

 

 

 

 

24. A random sample of 100 GMAT scores has a mean of 500. Assume that GMAT scoreshave a population standard deviation of 120. Construct a 95% confidence interval estimate of the

STAT200 : Introduction to Statistics   Final Examination, Fall 2014 OL1                         Page 5 of 6

 

 

mean GMAT scores. Show all work. Just the answer, without supporting work, will receive no credit.

 

(15 pts)

 

 

25.              Given a sample size of 100, with sample mean 730 and sample standard deviation 100,

 

we perform the following hypothesis test at the

0.05 level.

 

H0:      750

H1:     750

 

(a)    Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

 

(b)   Determine the critical value. Show all work; writing the correct critical value,

 

without supporting work, will receive no credit.

 

(c) What is your conclusion of the test? Please explain.                                   (20 pts)

 

 

26.              Consider the hypothesis test given by

 

0: p 0.5 H1: p0.5

 

In a random sample of 225 subjects, the sample proportion is found to be  pˆ   0.55 .

 

(a)    Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

 

(b)   Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.

 

(c)  Is there sufficient evidence to justify the rejection of H0  at the0.01 level?

 

Explain.                                                                                                                                  (20 pts)

 

 

 

27.              In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The result is shown in the following table.

 

 

Number of Words Recalled

Subject

1 hour later

24 hours later

1

14

10

2

18

14

3

11

9

4

16

12

5

15

12

 

 

 

STAT200 : Introduction to Statistics   Final Examination, Fall 2014 OL1                         Page 6 of 6

 

 

Is there evidence to suggest that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours by more than 3?

 

Assume we want to use a 0.01 significance level to test the claim.

 

(a)    Identify the null hypothesis and the alternative hypothesis.

 

(b)   Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

 

(c)    Determine the critical value. Show all work; writing the correct critical value, without supporting work, will receive no credit.

 

(d)   Is there sufficient evidence to support the claim that the mean number of words

 

recalled after 1 hour exceeds the mean recall after 24 hours by more than 3? Justify your conclusion. (25 pts)

 

 

 

Refer to the following data for Questions 28 and 29.

 

x

0

-1

3

2

5

y

3

-2

3

6

8

 

28.              Find an equation of the least squares regression line.  Show all work; writing the correct

equation, without supporting work, will receive no credit.                              (15 pts)

 

29.               Based on the equation from # 28, what is the predicted value of y if x = 4?  Show all work

 

and justify your answer.                                                                                  (10 pts)

 

 

 

30.

The UMUC Bookstore sells three different types of coffee mugs. The manager reported

 

that the three types are purchased in proportions: 50%, 30%, and 20%, respectively.

 

Suppose that a sample of 100 purchases yields observed counts 46, 28, and 26 for types

 

1, 2, and 3, respectively.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Type

1

 

2

 

3

 

 

 

 

Number

46

 

28

 

26

 

 

Assume we want to use a 0.10 significance level to test the claim that the reported

 

proportions are correct.

 

 

 

 

 

 

 

(a)

Identify the null hypothesis and the alternative hypothesis.

 

 

 

(b)

Determine the test statistic. Show all work; writing the correct test statistic, without

 

 

supporting work, will receive no credit.

 

 

 

 

 

(c)

Determine the critical value. Show all work; writing the correct critical value,

 

 

without supporting work, will receive no credit.

 

 

 

(d)

Is there sufficient evidence to support the claim that the reported proportions are

 

 

correct? Justify your answer.

 

week 8 review

1.

Write the following set in builder notation form

2.
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

y = x +

 


y = x –

 


y = –x –

 


y = –x +

 

3.

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

one and only one solution


one and only one solution


one and only one solution


infinitely many solutions

4.
Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly.

5.
Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent.

6.

Find the pivot element to be used in the next iteration of the simplex method.

7.

Indicate whether the matrix is in row-reduced form.

8.

In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers?

9.
If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

10.
Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount?

11.

Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y

5.8

6.1

7.2

8.3

9

Year, x

1

2

3

4

5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.




12.

The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT).

Mode of Transportation

Car

Train

Bicycle

Plane

Number of Fatalities

16,525

842

698

538

What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places.

13.
A system composed of two linear equations must have at least one solution if the straight lines represented by these equations are nonparallel.

14.

Use Venn diagrams to illustrate the statement.

15.
A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition?

16.

Solve the linear programming problem by the simplex method.

17.

Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line.

18.

Maximize

P= 10x + 12y

subject to

19.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

20.

Let .

Are the events F and G mutually exclusive?

21.

Solve the system of linear equations using the Gauss-Jordan elimination method.

22.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

23.
If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places.

24.
An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event “A head is tossed and an odd number is rolled.”

25.
What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec?

week 4 midterm

1.
Find an equation of the line that passes through the points (1, 4) and ( -7, -4)

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b.

3.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:


4.

Consider the linear programming problem.

Sketch the feasible set for the linear programming problem.

5.

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

one and only one solution


one and only one solution


one and only one solution


infinitely many solutions


6.

Indicate whether the matrix is in row-reduced form.

7.

Find the pivot element to be used in the next iteration of the simplex method.

8.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

9.
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

y = x +

 


y = x –

 


y = –x –

 


y = –x +

10 If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?


11.

Maximize

P= 10x + 12y

subject to

12.

Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line.

13.

Find the slope of the line that passes through the given pair of points.

(2, 2) and (8, 5)

14.

Consider the linear programming problem.

Sketch the feasible set for the linear programming problem.

15.

Solve the system of linear equations using the Gauss-Jordan elimination method.

16.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:


17.

Determine whether the given simplex table is in the final form. If so, find the solution to the associated regular linear programming problem.

18.

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.


 
 
 
 
 
19.

Solve the linear programming problem by the simplex method.

 
20.

Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y

5.8

6.1

7.2

8.3

9

Year, x

1

2

3

4

5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.



 

21.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

22.

Solve the system of linear equations using the Gauss-Jordan elimination method.

23.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

24.

Solve the system of linear equations, using the Gauss-Jordan elimination method.

25.

Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope – 1.

 
 
 
 
 

MAT 540 Quiz 4

MAT 540Week 6 Quiz 4:

 

 

1. The standard form for the computer solution of a linear programming problem requires all variables to the right and all numerical values to the left of the inequality or equality sign 

True/ False

 

2. _________ is maximized in the objective function by subtracting cost from revenue.

Profit

 Revenue

 Cost

 Productivity

 

3. A croissant shop produces 2 products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today’s production run. Bear claw profits are 20 cents each, and almond filled croissant profits are 30 cents each. What is the optimal daily profit?

$380

 $400

 $420

 $440

 $480

 

4. In an unbalanced transportation model, supply does not equal demand and supply constraints have signs.   True/ False

 

5. The production manager for Liquor etc. produces 2 kinds of beer: light and dark. Two of his resources are constrained: malt, of which he can get at most 4800 oz per week; and wheat, of which he can get at most 3200 oz per week. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. What is the objective function?

Z = $1L + $2D

 Z = $4L + $8D

 Z = $12L + $8D

 Z = $2L + $1D

 Z = $2L + $4D

 

6. In a media selection problem, the estimated number of customers reached by a given media would generally be specified in the _________________. Even if these media exposure estimates are correct, using media exposure as a surrogate does not lead to maximization of___.

problem constraints, sales

 problem constraints, profits

 objective function, profits

 problem output, marginal revenue

 problem statement, revenue

 

7. The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of Lime chips are $0.40, and for a bag of Vinegar chips $0.50. Which of the following is not a feasible production combination?

 0L and 0V

 0L and 1000V

 1000L and 0V

 0L and 1200V

 

8. When formulating a linear programming model on a spreadsheet, the measure of performance is located in the target cell.   True/ False

 

9. In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.      True/ False

 

10. In a media selection problem, instead of having an objective of maximizing profit or minimizing cost, generally the objective is to maximize the audience exposure.  True/ False

 

11. ____________ solutions are ones that satisfy all the constraints simultaneously.

alternate

 feasible

 infeasible

 optimal

 unbounded

 

12. The production manager for the Softy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. Two of her resources are constraint production time (8 hours = 480 minutes per day) and syrup (1 of her ingredient) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the optimal daily profit?

$220

 $270

 $320

 $420

 $520

 

13. Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem.   True/ False

 

14. When using linear programming model to solve the “diet” problem, the objective is generally to maximize profit.   True/ False

 

15. Profit is maximized in the objective function by

subtracting cost from revenue

 subtracting revenue from cost

 adding revenue to cost

 multiplying revenue by cost

 

16. Linear programming model of a media selection problem is used to determine the relative value of each advertising media.    True/ False

 

17. Media selection is an important decision that advertisers have to make. In most media selection decisions, the objective of the decision maker is to minimize cost.   True/ False

 

18. The dietician for the local hospital is trying to control the calorie intake of the heart surgery patients. Tonight’s dinner menu could consist of the following food items: chicken, lasagna, pudding, salad, mashed potatoes and jello. The calories per serving for each of these items are as follows: chicken (600), lasagna (700), pudding (300), salad (200), mashed potatoes with gravy (400) and jello (200). If the maximum calorie intake has to be limited to 1200 calories. What is the dinner menu that would result in the highest calorie in take without going over  the total calorie limit of 1200.

chicken, mashed potatoes and gravy, jello and salad

 lasagna, mashed potatoes and gravy, and jello

 chicken, mashed potatoes and gravy, and pudding

 lasagna, mashed potatoes and gravy, and salad

 chicken, mashed potatoes and gravy, and salad

 

19. In a multi-period scheduling problem the production constraint usually takes the form of :

beginning inventory + demand – production = ending inventory

 beginning inventory – demand + production = ending inventory

 beginning inventory – ending inventory + demand = production

 beginning inventory – production – ending inventory = demand

 beginning inventory + demand + production = ending inventory

 

20. A constraint for a linear programming problem can never have a zero as its right-hand-side value.   True/ False

 

 

 

See Description

“Dracula’s Guest” by Bram Stoker at http://www.literature.org/authors/stokerbram/

 

 

 

draculas-guest/

 

 

“Good Friday” by F. Paul Wilson in your 999 text

 

“Hemophage” by Steven Spruill in your 999 text

 

 

 

 

 

 

Identify the setting for each of the three required stories. Discuss in a sentence or

 

two how important each is to its respective storyline. You will not receive credit if

 

you just write: “The setting plays a crucial part in all of these stories.” A good way

 

to think about this is to ask, “If this story took place somewhere else at a different

 

time, would it still be as effective as a horror story?”

 

 

 

For each of the three required vampire stories sum up in one word how you

 

would describe the atmosphere (the overall mood). Each story will have its own

 

answer. The options are endless but give a sentence or two explaining why you

 

came up with your word. You will not receive credit if you take the easy way out

 

and write, “They were all dark.”

 

Help

Discrete Probability Distribution ???

   Imagine you are in a game show, where

Now, let us start the money give-away!  There are 4 prizes hidden on a game board with 16 spaces.  One prize is worth $4000, another is worth $1500, and two are worth $1000.

But, wait!!!  You are also told that, in the rest of the spaces, there will be a bill of $50 that you have to pay to the host as a penalty for not making the “wise” choice.

OK, you are lucky that you only have to pay $50 for making a bad choice.  Imagine that you failed to answer the question asked by

in the Monty Python and the Holy Grail!

But, of course, it is a much kinder and gentler world now than the time of King Arthur and his knights.

monty-python-holy-grail-clip-clop-300w.jpg

  In this modern game show, you are actually given a choice, a real choice.

Choice #1:  You are offered a sure prize of $400 cash, and you just take the money and walk away.  Period.  No question asked…..

Choice #2:  Take your chance and play the game…….

What would be your choice?  Take the money and run, or play the game?  Why???Hmmmm…….

   You have to make a decision…… quick ……