Homework Assignment 12:
(1) In a clinic, physicians volunteer their time on a daily basis to provide care to those
who are not eligible to obtain care otherwise.
The number of physicians who
volunteer in any day is uniformly distributed on the integers 1 through 5.
The
number of patients who can be served by a given physician has a Poisson
distribution with mean 30.
Determine the mean and variance of the number of
patients served in a day at the clinic.
(Ans 90, 1890)
(2) Between 9 am and 3 pm Big National Bank employs 2 tellers to service customer
transactions.
The time it takes Teller A to complete each transaction follows an
exponential distribution with a mean of 10 minutes.
Transaction times for Teller B
follow an exponential distribution with a mean of 15 minutes.
Both Teller A and
Teller B are continuously busy while the bank is open.
On average, every third customer transaction is a deposit, and the amount of the
deposit follows a Pareto distribution with
α
= 3 and
θ
= 5,000.
Deposits of $7,500 or
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This note was uploaded on 05/11/2011 for the course STOR 472 taught by Professor Charlesdann during the Spring '11 term at University of North Carolina School of the Arts.
 Spring '11
 CharlesDann

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