Chapter 6, Problem 15P

15. In 20l4, the New York Yankees had a team batting average of µ = 245 (actually 0.245 but we

will avoid the decimals. Of course, the batting average varies from game to game but assuming that the distribution

of batting averages for l62 games is normal with a standard deviation of a = 40 points, answer each of the following.

1. lf you random]y select one game from 2014, what is the probability that the team batting average was over 300?
2. If you randomly select one game from 2014, what is the probability that the team batting average was under 200?