1. Generate a standard normal random variable X using Matlab’s randn command. Form the random variable Y = F(X) where F() is the standard normal
   cdf. Plot the histogram of many such Y ’s and explain the result.
2. Two types of customers arrive at single teller bank. Type A customers arrive according to a Poisson process with rate 10 per hour and require a exponentially distributed service time, with mean 3 minutes. Type B customers arrive according to an another, independent, Poisson process with rate 6 per hour and require a exponentially distributed service time, with mean 10 minutes.

Assuming the bank is open for 8 hrs provide a discrete event simulation model for this system and determine, using 100 simulation runs:

• The average time in the bank for type A customers

• The average time in the bank for type B customers

• The average time the server can go home

• The average proportion of type A to type B customers

Hint: This can be accomplished via a (minor) modification of the single queue model given in class by applying the concept expressed on slide 22.

Price: $8.55

Solution: The downloadable solution consists of 6 pages, 255 words and 9 charts.
Deliverable: Word Document