Waiting line Model (M/M/1) Question

Anonymous
timer Asked: Apr 19th, 2017

Question description

In a single channel automatic car wash, cars arrive

following Poisson distribution at the rate of 20 per hour. It

takes an average of 2 minutes to wash a car, and the

service time follows exponential distribution. Find the

following operating characteristics of the system (10

marks).

  • What is the probability that 4 cars arrive within 10 minutes?
  • What is the probability that no car arrives within 5 minutes?
  • What is the probability that a car is washed in less than 1.5 minutes.
  • Tutor Answer

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