Question

The average number of customers arriving at a bank branch is eight per hour. Assume that customer arrivals follow a Poisson process. The bank opens at 9:00 am in the morning. Answer the following questions accordingly.

a) What is the probability that the first customer will arrive after 9:10 am?

b) Suppose that it is now 9:15 and the first customer has arrived at 9:12 am. What is the probability that the second customer will arrive after 9:25 am?

c) What is the probability that the third customer arrives exactly at 9:45 am?

d) What is the probability that exactly three customers arrive by 9:45 am?

Answer #1

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Suppose that customers arrive at a bank at a rate of 10 per
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2. Find the probability of more than 25 people arriving within
the next two hours using the normal approximation to the
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3. Compute the percent relative difference between the exact
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