A customer service center receives phone calls at a rate of

A customer service center receives phone calls at a rate of 10 per hour. Let C be the number of phone calls received in a 4-hour shift. Let T be the amount time (in hours) of between 1st and 2nd calls. Assume that calls arrive independently.

c) Find the probability that there are between 50 and 52 calls (inclusive) between 2 pm and 6 pm.
d) A call came in to the customer service center at 2:05 pm, what is the probability that the next call comes in before 2:10 pm?

Solution