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The number of people that walk into a restaurant is a poisson random variable with parameter lambda = 4 customers per hour. Let X be

The number of people that walk into a restaurant is a poisson random variable with parameter lambda = 4 customers per hour. Let X be the waiting time until the 5th customer walks into the restaurant. (Gamma distribution) Find E(X), Var(X), and the probability that five or more customers walk into the restaurant in the first 30 minutes after it opens

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