Calls Arrive Lynn Ann Fish S Hotel Switchboard Rate 15 Per Minute Average Time Handle 20 S Q34475426

Calls arrive at Lynn Ann Fish’s hotel switchboard at a rate of1.5 per minute. The average time to handle each is 20seconds.  There is only one switchboard operator at thecurrent time. The Poisson and negative exponential distributionsappear to be relevant in this situation. a) The probability thatthe operator is busy = (round your response to two decimal places).b) The average time that a caller must wait before reaching theoperator = minutes (round your response to two decimal places). c)The average number of calls waiting to be answered = calls (roundyour response to two decimal places).