Question

The men’s department of a large store employs one tailor for customer fittings. The number of
customers requiring fittings appears to follow a Poisson distribution with mean rate 24 per hour.
Customers are fitted on a first come, first served basis, and they are always willing to wait for the
tailor’s service, because alterations are free. The time it takes to fit a customer appears to be
exponentially distributed, with mean of 2 minutes.
a. What is the average number of customers in the fitting room?
b. How much time should a customer expect to spend in the fitting room?
c. What percentage of the time is the tailor idle?
d. What is the probability that a customer will wait more 10 minutes for the tailor’s service?
e. The average waits for the tailor’s service experienced by those customers who have to wait
at all.

Answer 1

Answer:

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