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Normal distribution applied to baseball

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5. In baseball, a "no-hitter" is a regulation 9-inning game in which the pitcher yields no hits to the opposing batters. Chance (Summer, 1994) reported on a study of no-hitters in Major League Baseball (MLB). The initial analysis focused on the total number of hits yielded per game per team for all 9-inning MLB games played between 1989 and 1993. The distribution of hits per 9-innings is approximately normal with a mean of 8.72 and a standard deviation of 1.10.

(a) What percentage of 9-inning MLB games result in fewer than 6 hits?

(b) Using your knowledge of the normal curve, explain precisely why, statistically, is a no-hitter considered an extremely rare occurrence in MLB.

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Solution Summary

This shows how to solve two problems involving a normal probability distribution with an example from major league baseball.

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5. In baseball, a "no-hitter" is a regulation 9-inning game in which the pitcher yields no hits to the opposing batters. Chance (Summer, 1994) reported on a study of no-hitters in Major League Baseball (MLB). The initial analysis focused on the total number of hits yielded per game per team for all 9-inning MLB games played between 1989 and 1993. The ...

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