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 2019.

(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 graph of the discrete probability distribution.
(c) Compute and interpret the mean of the random variable X.

(d) Compute the standard deviation of the random variable X.

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X 3 4 5 Frequency 23 14 15