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In a benchmark study, a fast food restaurant had an average service time of 2.2 minutes....

In a benchmark study, a fast food restaurant had an average service time of 2.2 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.)

Suppose the manager of the restaurant is considering instituting a policy such that if the time it takes to serve you exceeds six minutes, your food is free. What is the probability that you will get your food for free?

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Answer:

The probability if the time to serve exceeds six minutes is

1 - P(X<=6)

1 - 1 + e-6/2.2

0.0654

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