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The number of people who enter Rooster’s Coffeehouse follows a Poisson distribution

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The number of people who enter Rooster’s Coffeehouse follows a Poisson distribution with an average of 2 people every 5 minutes. Let X represent the number of people who enter Rooster’s Coffeehouse during thenext five minutes.

(a) What is the probability that nobody enters Rooster’s Coffeehouse during the next 5 minutes?

(b) What is the probability that at least three people enter Rooster’s Coffeehouse during the next 5 minutes?

(c) Suppose that you wish to find the probability that at least three people enter Rooster’s Coffeehouse during the next 10 minutes. Without actually computing the answer, how would your computations in part (b) change? Explain.

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[Solved] The number of people who enter Rooster’s Coffeehouse follows a Poisson distribution

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