Question: Based on historical data, the probability that a major league pitcher pitches a no-hitter in a game is about 1/1300. A) use the binomial distributions to determine the probability that in 650 games 0,1,2 or no-hitters will be pitched. ( Find the separate probabilities of these four events) . B) Repeat A) using the Poisson approximation to the binomial. This approximation says that if n is large and p is small, a binomial distribution with parameters n and p is approximately Poisson with λ = np.

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