Preview

2333MidtermS 2014

Good Essays
Open Document
Open Document
957 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
2333MidtermS 2014
Name:
INDE 2333
Engineering Statistics I
Midterm Examination
Fall 2014
Total Points: 100

Professor: Qianmei Feng
Time: 80 Minutes

Please show all of your work, including the methods used and step-by-step calculations. You will not be graded based on only the final answers but based on the overall process to obtain the answer.
Please use these sheets to answer your questions and no attachments are necessary.
Problem 1
(a) The manager of a small plant wishes to determine the number of ways she can assign personnel to the first shift. She has 18 persons who can serve as operators of the production equipment, 10 persons who can serve as maintenance personnel, and 4 persons who can be supervisors. If the shift requires 6 operators, 2 maintenance persons, and 1 supervisor, in how many different ways can it be staffed?
[8 points]

18 10  4 
     18564  45  4  3,341,520
 6  2  1 

(b) Suppose A and B are not mutually exclusive events, and we have P(A)=0.35, P(B)=0.40,
P(AB)=0.18. Compute the following probabilities:
i) P (AB)=?

[4 points]
P (AB)=P[A]+P[B]-P[AB]=0.35+0.40-0.18=0.57

ii) P(AB)=?

P[A  B] 

P[ A  B] 0.18

 0.45
P[ B]
0.40

1 of 6

[4 points]

Name:
Problem 2
A diagnostic test for a certain disease is said to be 90% accurate in that, if a person has the disease, the test will detect it with probability 0.9. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease?
[15 points]
Define these events:
D: person has the disease
H: test says person has the disease
P ( H D )  0.9; P ( H D )  0.9; P ( D )  0.01; P ( D )  0.99
Using Bayes’ Theorem,

P( D H ) 

P( H D) P( D)
P( H D) P( D)  P( H D ) P( D )



0.9  0.01

You May Also Find These Documents Helpful

  • Better Essays

    The number of employees that we began with was 13 employees, which included a dining room manager, servers, hostess, cashier, chefs, and a bus boy. Several employees are needed to make sure that each customer is attended to properly so as not to wait for drinks, refills, and their food (M.S. Segars, personal communication, July 6, 2015).…

    • 1090 Words
    • 4 Pages
    Better Essays
  • Powerful Essays

    Pt1420 Final Exam

    • 3892 Words
    • 16 Pages

    25% chance of child developing disease and 50% chance the child will be a carrier.…

    • 3892 Words
    • 16 Pages
    Powerful Essays
  • Good Essays

    Bus 210 Appendix B

    • 407 Words
    • 2 Pages

    | The Employees provide the services to decorate the rooms for the upcoming events. Based on the skills and abilities of…

    • 407 Words
    • 2 Pages
    Good Essays
  • Satisfactory Essays

    Mri Notes

    • 3945 Words
    • 16 Pages

    Bringing MRI to Your Community Hospital A Community Hospital White Paper 04-201-XO-491_Bringing_MR5.qxd 12/10/04 10:05 AM Page 1 Bringing MRI to Your Community Hospital CONTENTS Introduction .............................................................................................. 1 Making the Business Case .......................................................................... 2 The Business Plan ..........................................................................................2 Reasons for Bringing MRI to your Hospital...................................................... 2 Financial Considerations ................................................................................3 Selecting the Equipment ............................................................................8…

    • 3945 Words
    • 16 Pages
    Satisfactory Essays
  • Good Essays

    2 Virology HIV

    • 6598 Words
    • 23 Pages

    If the number is low, the person may be immuno-compromised and may need therapy sooner…

    • 6598 Words
    • 23 Pages
    Good Essays
  • Satisfactory Essays

    Mono

    • 354 Words
    • 2 Pages

    -All available hospital medical records were reviewed for persons who had tested positive 40 of 57 persons and compared with a random sample of half the available medical records for persons who had tested negative 31 of 67 persons…

    • 354 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    With a low incidence rate in the random data sample, there would be insufficient data to solve the problem…

    • 627 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    probability of the recurrence of the disease . At this point in the text is mentioned that all are having similar changes to survive ( 80 to 85%).…

    • 806 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Hiring a Plant Manager

    • 477 Words
    • 2 Pages

    Having a trustworthy and competent administrative staff in place helps the manager run a productive and profitable facility. From the human resources manager to the person in charge of ordering raw materials for production, the excellence of the supervisorial staff’s performance is often imperative to the overall success of the plant. The plant manager generally relies on these staff members to maintain good employee relations, quality control standards and meet production deadlines. The plant manager also may attend departmental meetings to personally address and resolve problems.…

    • 477 Words
    • 2 Pages
    Good Essays
  • Powerful Essays

    (5) Schedule the evening-shifts by using the calculation from Step 2 as a reference. (See Table 2) There is 11 Day shifts (42 Days-12 Days off-19 off-shifts = 11 Day shifts) remain to be scheduled. (See Table 3)…

    • 2454 Words
    • 10 Pages
    Powerful Essays
  • Good Essays

    Starbucks Structure

    • 937 Words
    • 4 Pages

    To better understand the duties and responsibilities of the Shift Manager, I will give a…

    • 937 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    In the Home Care Crew Scheduling Problem a staff of home carers has to be assigned a number of visits to…

    • 11717 Words
    • 47 Pages
    Powerful Essays
  • Better Essays

    My Fc

    • 7927 Words
    • 32 Pages

    At this moment, there are five workers, three workers in charge at counter and two…

    • 7927 Words
    • 32 Pages
    Better Essays
  • Satisfactory Essays

    Welcome ................................................................................................................ 5 Staff ....................................................................................................................... 5 2.1 2.2 Contact Details ................................................................................................ 5 Staff availability ................................................................................................ 6 Requirements, resources and recommended material........................................ 6 3.1 Requirements for the course............................................................................ 6 Code of conduct .................................................................................................. 7 4.1…

    • 3676 Words
    • 15 Pages
    Satisfactory Essays
  • Satisfactory Essays

    will indicate that this is the case in 80 % of the cases. But if they…

    • 385 Words
    • 2 Pages
    Satisfactory Essays