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A store lets customers enter one at a time. Suppose that the entries follow a Poisson...

A store lets customers enter one at a time. Suppose that the entries follow a Poisson process with a mean of 10 customers per hour. (a) What is the probability that exactly 11 customers enter in a given hour?

(b) What is the probability that exactly 18 customers enter in a given two-hour period?

(c) A new greeter starts their shift at noon. What is the probability that they let their first customer enter before 12:15?

Math   Statistics-And-Probability   
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