The Stanley Cup is a best-of-seven series to determine the champion of the National Hockey League. The following data represent the number of games played, X, in the Stanley Cup before a champion was determined from 1939 to 2011.
x .... Frequency
4 .... 20
5 .... 17
6 .... 19
7 .... 16
(a) Construct a probability model for the random variable X, the number of games in the Stanley Cup.
(b) Draw a probability histogram.
(c) Compute and interpret the mean of the random variable X.
(d) Compute the standard deviation of the random variable X.