Question

A crew of mechanics at the Highway Department garage repair vehicles which break down at an average of u03bb = 5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of u03bc= 10 vehicles per day with a repair time distribution that approximates an exponential distribution.

a. What is the probability that the system is empty?

b. What is the probability that there is precisely one vehicle in the system?

c. What is the probability that there is more than one vehicle in the system?

d. What is the probability of 5 or more vehicles in the system?

Answer

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