Calls arrive at Lynn Ann? Fish's hotel switchboard at a rate of 2.52.5 per minute. The average time to handle each is 1010 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation.
a) Probability that the operator is busy = ________
b) Average time that a customer must wait before reaching the operator = _________
c) Average number of calls waiting to be answered = __________