TheWorld Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919€“1921 World Series, when it was a best of nine). As found on the Major League Baseball Web site in World Series Overview, historically, the lengths of the World Series are as given in the following table.

Let X denote the number of games that it takes to complete a World Series, and let Y denote the number of games that it took to complete a randomly selected World Series from among those considered in the table.
a. Determine the mean and standard deviation of the random variable Y. Interpret your results.
b. Provide an estimate for the mean and standard deviation of the random variable X. Explain your reasoning.

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Number Relative of gamesFrequency frequency 20 23 4 0.20 0.23 0.22 0.35 35