Suppose that the times between customer arrivals at a convenience store are exponential random variables with...
Suppose that the times between customer arrivals at a
convenience store are exponential random variables with
mean β=1.5 minutes.
(a) Find the probability that there are no arrivals within the
first three minutes of the store’s opening.
(b) Find the probability that the third customer of the day arrives
within the first four minutes of the store’s
opening.
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I got e^(-5/4) for (a) and (b), but I do not know how to do (c).
Thank you!
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