Suppose the process of arrival of customers to a bank is a homogeneous Poisson process at a rate of 0.7 people / minute.

If the bank opens at 08.00 (t = 0 minutes) and closes at 16.00 (t = 480 minutes).

a. Determine the chance of visitors coming to 5 arriving 5-7 minutes earlier than visitor to 6.

b. Opportunities coming to 3 arrived after 08.10.

c. Determine the odds that come to 3 arriving after 08.07 but before or at 08.08.

d. Decide what time is the expected value of the 5th arrival time? Define the standard deviation.