Cars Arrive at a Parking Lot Entrance at the Rate

question 91

Essay

Cars arrive at a parking lot entrance at the rate of 20 per hour.The average time to get a ticket and proceed to a parking space is two minutes.There are two lot attendants at the current time.The Poisson and exponential distribution appear to be relevant in this situation.
(a)What is the probability that an approaching auto must wait?
(b)What is the average waiting time?
(c)What is the average number of autos waiting to enter the garage?

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