No-hitters in baseball. In baseball, a “no-hitter” is a regulation nine-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 nine-inning MLB games. The distribution of hits per 9 innings is approximately normal with mean 8.72 and standard deviation 1.10.
a. What percentage of nine-inning MLB games result in fewer than six hits?
b. Demonstrate statistically why a no-hitter is considered an extremely rare occurrence in MLB.
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