Assume that the requirements for the Poisson probability distribution are met for Exercises 23–31. Also, when asked to approximate a probability, use the Poisson approximation for the binomial distribution.

Question 6.209

27. Red Sox Runs. In 2013, the Boston Red Sox led all Major League Baseball teams with a mean number of runs per game of (Source:www.teamrankings.com). Let refer to the number of runs per game for the Boston Red Sox. Find the following probabilities:

  1. Probability that
  3. Probability that the Red Sox get shut out (score zero runs)
  4. Probability that

6.3.27

(a) 0.1749 (b) 0.1684 (c) 0.0056 (d) 0