Chapter 6, Problem 71DE

Refer to the Baseball 2012 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2012. Next, divide this value by 162 (a season comprises 162 games). Then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability that:

1. a. There are no home runs in a game.
2. b. There are two home runs in a game.
3. c. There are at least four home runs in a game.