In 2004, the Boston Red Sox won the World Series for the first time since 1918. This ended many years of frustration, which some attributed to a curse on the team for trading Babe Ruth to the Yankees in 1920. The table below shows an estimate of the probability distribution of the number of home runs in a game for the 2004 season.

(They never hit more than five in a game.)

x,----------------0,--------------------1,-------------2,---------3---------4,----------------5-------------

P(x=x) 0.23 0.38 0.13 0.03 0.01

a. Fill in the missing percentage, P(X = 2).

b. Find the expected number of home runs in a game. (Show your work.)

c. If you randomly select a game from the 2004 season, what is the probability that the Red Sox hit more than two home runs?