t Lynn Ann​ Fish's hotel switchboard at a rate of 2.0 per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exp

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Calls arrive at Lynn Ann​ Fish's hotel switchboard at a rate of 2.0
per minute. The average time to handle each is 15 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) The probability that the operator is busy​ =
 
​(round your response to two decimal​ places).
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