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 atbat is an independent event, describe the sampling distribution of B the proportion of hits in 500 atbats 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? (4:) Would it be unusual for the player who hit 0.310 one season to hit below 0.255 the following season? ...) a The samplin distribution ofpis V with A: and m: . ( l 9 up D p D (Round to three decimal places as needed.)