Arrivals at a telephone booth are considered to be Poisson distributed with an average time of 10 minutes between one arrival and the next. The length of a phone call is assumed to be distributed exponentially with a mean of 3 minutes. What is the probability that an arrival will have to wait more than 10 minutes before the phone is free? What is the probability that it will take him more than 10 minutes altogether to wait for phone and complete his call? Estimate the fraction of the day the phone will be in use.

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