# 2333MidtermS 2014

Good Essays
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.
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

• Good Essays

There is 75% chance that their children will have the allele for cystic fibrosis. There is a 25% chance their children won’t have the allele for cystic fibrosis.…

• 476 Words
• 2 Pages
Good Essays
• Good Essays

This disease can be diagnosed at birth and testing is available to identify whether the person…

• 631 Words
• 3 Pages
Good Essays
• Good Essays

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

• 6598 Words
• 23 Pages
Good 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
• 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

Your assignment is to write a short report to this woman. This report should describe what is known about the genetic basis of this trait (OMIM number, inheritance, chromosomal location, gene function, metabolic basis, treatment, etc.). What is the probability that a child of this woman will be affected? What is the probability that one of her children will be a carrier? The answer to this question will be affected by many factors (the population frequency of the allele responsible for this trait, the mode of inheritance, etc.). As the frequencies of many diseases vary across human populations, you are free to choose from which population the woman is a member. Please clearly state her assumed population origin in your report.…

• 465 Words
• 2 Pages
Good Essays
• Satisfactory Essays

-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
• 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

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
• Good Essays

2. Every section has a head to lead the other employees under him/her. There is one Head consultant and under him/her, two or more assistant consultants are working. Since there are…

• 1313 Words
• 7 Pages
Good Essays
• Good Essays

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
• Satisfactory Essays

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

• 385 Words
• 2 Pages
Satisfactory Essays
• Powerful Essays

suspected or has already been diagnosed. In such a case the final decision should be left to the…

• 4915 Words
• 20 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