For the 68 World Series played between 1945 and 2013, 13 (19%) ended after 4 games, 12 (18%) after 5 games, 15 (22%) after 6 games, and 28 (41%) needed to go all the way to 7 games.
a. Find the average number of games played based on these data. (Remember from Section 6.1 that the mean for the theoretical distribution given in Example 1 is 5.8125.)
b. Draw a histogram for these observations and compare it to the theoretical distribution in Table 6.1. What could be responsible for the differences?
c. A 2003 New York Times article mentioned that series going to seven games are unusually common. Is this true? Of 68 series, if the theoretical distribution given in Table 6.1 holds true, how many series do we expect to be decided in seven games? Compare this to the observed relative frequency.