1. on average 2 customers per hour use the public telephone in the sheriff’s detention area, and

1. on average 2 customers per hour use the public telephone in the sheriff's detention area, and this use has a Poisson distribution. The length of the phone call follows exponential distribution with a mean of 6 minutes. The sheriff will install a second telephone booth Continue to postwhen an arrival can expect to wait 3 minutes or longer for the phone. What is the arrival rate that justifies a second telephone booth?

2. in a waiting line system, there is only one server. Customer arrivals follow Poisson distribution with mean inter-arrival time 5 minutes. Service time follow exponential distribution and a server can serve 15 customers per hour on average. What is the average waiting time?

 

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