(This example was introduced in Chapter 5.) How many base hits can a baseball team expect to get in a game?

Frohlich (1994) recorded the number of hits by the 28 Major League Baseball teams for all of the games played in 1989 to 1993 (each team plays 162 games a year). He found that the number of hits the teams made in the games was normally distributed, with a mean of 8.72 and a standard deviation of 1.10.

a. What is the probability of a team getting more than 7 hits?

b. What is the probability of a team getting less than 10 hits?

c. What is the probability of a team getting less than 6 hits?

d. What is the probability of a team getting between 8 and 11 hits?