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Mathematics, 15.04.2021 18:50 reeseleprell4141

During the course of a typical baseball​ season, suppose that a batter has 500​ at-bats. This means that the player has the opportunity to get a hit 500 times during the course of a season.​ Further, suppose that a batter is a career 0.280 hitter​ (he averages 280 hits for every 1000​ at-bats, or he has 280 successes in 1000 trials of the​ experiment), so the population proportion of hits is 0.280. ​(a) Assuming that each​ at-bat is an independent​ event, describe the sampling distribution of p​, the proportion of hits in 500​ at-bats over the course of a season. ​(b) Would it be unusual for a player who is a career 0.280 hitter to have a season in which he hits​ 0.310? ​(c) Would it be unusual for the player who hit 0.310 one season to hit below 0.255 the following​ season? ​(a) The sampling distribution of p is ▼

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