exam210A

# exam210A - middle and rank C is the highest Initially there...

This preview shows pages 1–5. Sign up to view the full content.

ISyE 3232 A Exam # 2 Spring 2010 Name Please be neat and show all your work so that I can give you partial credit. GOOD LUCK. Question 1 Question 2 Question 3 Question 4 Total 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(25) 1. A basketball player makes a shot with the following probabilities: 1/2 if he has missed the last two times 2/3 if he has hit one of his last two shots 3/4 if he has hit both of his last two shots Compute the long run probability that he makes a shot. 2
(25) 2. Consider a bank with two tellers. Teller 1 has an exponential service time with mean 3 minutes and teller 2 has an exponential service time with mean 6 minutes. Alice, Betty, and Carol enter the bank at the same time. Alice goes to teller 1 and Betty goes to teller 2 while Carol waits for the ﬁrst available teller. a. (10) What is the expected time that Carol spends in the bank? b. (10) What is the expected time until the last of the three customers leaves the bank? c. (5) What is the probability that Carol is the last one to leave? 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(25) 3. A ﬁrm has a three rank hierarchy: Rank A is the lowest, rank B is the
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: middle and rank C is the highest. Initially, there are 100 employees at rank A, 80 at rank B, and 60 at rank C. Let the economic value of an employee at ranks A, B and C be 1,2 and 3 respectively. Assume that there is no demotion and each employee advances through the ranks according to the following one year probability transition matrix P = . 4 0 . 4 0 . 1 0 . 1 . 0 0 . 5 0 . 4 0 . 1 . 0 0 . 0 0 . 8 0 . 2 . 0 0 . 0 0 . 0 1 . where X represents employee’s exit from the ﬁrm. What is the expected total economic value of the ﬁrm after 2 years? 4 (25) 4. Sue and Liz arrive at a beauty salon together and plan to leave together. Sue needs a perm, and Liz a manicure. The duration of a perm is exponentially distributed with rate 5 /hr ; that of a manicure is exponentially distributed with rate 10 /hr . If both are served immediately, what is expected duration one has to wait for the other? 5...
View Full Document

## This note was uploaded on 12/07/2011 for the course ISYE 3232 taught by Professor Billings during the Fall '07 term at Georgia Tech.

### Page1 / 5

exam210A - middle and rank C is the highest Initially there...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online