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The waiting time at a certain checkout counter follows an exponential distribution with a mean waiting...

The waiting time at a certain checkout counter follows an exponential distribution with a mean waiting time of five minutes.

a) Compute the probability that an individual customer waits longer than 5 1/2 minutes at the checkout counter.

b) Compute the exact probability that the average checkout time for 5 individuals is greater than 5 ½ minutes.

c) Compute the exact probability that the average checkout time for 15 individuals is greater than 5 ½ minutes.

d) Apply the Central Limit Theorem to approximate the probability that the average checkout time for 15 individuals is greater than 5 ½ minutes. How good is your approximation when n=15?

Math   Statistics-And-Probability   
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