In 2014, the New York Yankees had a team batting average of = 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 162 games is normal with a standard deviation of = 40 points, answer each of the following.

a. If you randomly select one game from 2014, what is the probability that the team batting average was over 300?

b. If you randomly selected one game from 2014, what is the probability that the team batting average was under 200?