Phone calls arrive at an average rate of 30 per hour at the Information Technology Help Desk of a large organization during normal office hours. Use appropriate Excel functions to solve the following questions:
(A) Compute the probability of receiving four calls in a five-minute interval of time.
(B) Compute the probability of receiving more than 10 calls in a five-minute interval of time.
(C) If no calls are currently being processed (either on hold or in progress), what is the probability that the agent can take a 10-minute break without missing a call?
(D) The help desk has a capacity for 5 calls on hold; any additional calls get a busy signal and so miss their spot in the queue. If there are already 2 calls on hold and the current call takes 7 minutes, what is the probability of at least one caller not getting into the queue while the current call is processed?
(E) Suppose no calls are currently being processed (either on hold or in progress), what is the probability that the Helpdesk will receive the next call within the next 10 minutes?