*31. Events occur according to a Poisson process with rate A = 2 per hour. (a) What...

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*31. Events occur according to a Poisson process with rate A = 2 per hour.

(a) What is the probability that no event occurs between 8 P . M . and 9 P . M . ?

(b) Starting at noon, what is the expected time at which the fourth event occurs?

(c) What is the probability that two or more events occur between 6 P . M .

and 8 P . M . ?

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