Someone claims that the waiting time, in minutes, between hits at a certain website has the exponential distribution with parameter ?= 1.
a. Let X be the waiting time until the next hit. If the claim is true, what is P(X ? 5)?
b. Based on the answer to part (a), if the claim is true, is five minutes an unusually long time to wait?
c. If you waited five minutes until the next hit occurred, would you still believe the claim? Explain.
(a)
(b) Yes, it would happen less than 1% of the time..
(c) No, because 5 minutes is unusually long if the claim is true.
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