The next four questions are based on the following information. At a car wash st

Question

The next four questions are based on the following information. At a car wash station, on average, there are 4 cars coming in for the service every 10 minutes. The average wash time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. Please convert all rates into cars per hour and answer the following questions.

Question 1: The average time a car spent in the waiting line is __________ hours, and the total time a car spent in this car wash station is _________ hour

Question 2: What is the average number of cars in this car wash station is ___________

Question 3: What is the probability that there are no cars in this station is _______________

Question 4:What is the probability that there are exactly two cars in this station is __________

Explanation / Answer

Question 1: The average time a car spent in the waiting line is 0.13 hours, and the total time a car spent in this car wash station is 0.17 hour

Question 2: What is the average number of cars in this car wash station is 4

Question 3: What is the probability that there are no cars in this station is 0.2

Question 4:What is the probability that there are exactly two cars in this station is 0.128

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