In 2014, the New York Yankees had a team batting average of µ = 245 (actually 0.245, but for simplicity, the decimal point is omitted here). 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 σ = 40 points, answer each of the following questions.
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 select one game from 2014, what is the probability that the team batting average was under 200?