Question: Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00

Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00 p.m. Determine the following:

(a) Probability that you wait more than 10 minutes for a cab.

(b) Probability that you wait fewer than 20 minutes for a cab.

(c) Mean number of cabs per hour so that the probability that you wait more than 10 minutes is 0.1.

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