Solved: The number of runs scored per game by a particular major, Basic Statistics

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The number of runs scored per game by a particular major

The number of runs scored per game by a particular major league baseball team isa discrete random variable with mean 3.9 runs and standard deviation 1.3 runs. Abaseball season consists of 182 games; letXdenote the average number of runs pergame for this particular team over the 182-game season.

(a) Give an approximate distribution for X, with parameter(s), and explain why this approximation is valid.

(b) What is the probability that the team averages more than 4 runs per game?

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