Listed in the following table is the length distribution of World Series competition for the 58 series from 1950 to 2008 (there was no series in 1994).

World Series Lengths

Number of Games, X                        Number of Years

4….…………………………………………..12

5 ……………………………………………..10

6 ……………………………………………..12

7 ……………………………………………..24

                                                        58

Assuming that each World Series game is an independent event and that the probability of either team’s winning any particular contest is 0.5, find the probability of each series length. How well does the model fit the data? (Compute the “expected” frequencies, that is, multiply the probability of a given-length series times 58).