At the Wimbledon Tennis Championship, to win a match in men’s singles a player must win the best of five sets. The following data represent the number of sets played, X, in the men’s singles final match for the years 1968 to 2011.

x ....Frequency

3 ....19

4 ....12

5 ....13

(a) Construct a probability model for the random variable, X, the number of sets played in the Wimbledon men’s singles final match.

(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.