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The arrival of customers to a store is modeled as a poisson process with an intensity...

The arrival of customers to a store is modeled as a poisson process with an intensity of 12 customers / hour.
a) Assume that there have been 4 customers in 15 minutes. Calculate the probability that at least two customers arrived in the first 10 minutes.
b) Suppose the store is open for 10 hours a day. Approximately determine the probability that at least 100 customers arrived during this day.

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