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 distribution to determine the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched. (Find the separate probabilities of these four events.)
b. Repeat part 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 the same as a Poisson distribution with λ = np.