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Question: Customers arrive at a shipping office at times of a Poisson process with rate 3 per hour.

(a) The office was supposed to open at 8 a.m. but the clerk Oscar overslept and came in at 10 a.m. What is the probability that no customers came in the two hour period?

(b) What is the distribution of the amount of time Oscar has to wait until his first customer arrives?

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