# Question

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.

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.

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