A convenience store has four available parking spaces. The owner predicts that the duration of customer shopping (the time the customer's vehicle will occupy a parking space) is exponentially distributed with a mean of 6 minutes. The owner knows that in the busiest hour customer arrivals are exponentially distributed with a mean arrival rate of 30 customers per hour. What is the probability that a customer will not have an open parking space available when arriving at the store? Round off answer in four decimal places.

A convenience store has four available parking spaces. The owner predicts that the duration of customer shopping (the time the customer's vehicle will occupy a parking space) is exponentially distributed with a mean of 6 minutes. The owner knows that in the busiest hour customer arrivals are exponentially distributed with a mean arrival rate of 30 customers per hour. What is the probability that a customer will not have an open parking space available when arriving at the store? Round off answer in four decimal places.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...

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