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Customers leave a supermarket according to a Poisson process with rate per hour. Each customer buys a veggie platter with probability p, independent of everything

Customers leave a supermarket according to a Poisson process with rate per hour. Each customer buys a veggie platter with probability p, independent of everything else. (1) Find the distribution of the time until the first sale of a veggie platter. (2) Find the expected number of customers who buy a veggie platter during one hour.

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