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The hall of fame baseball player, Joe DiMaggio, set an MLB record of longest hitting streak with 56 games. a.) (5pts) During this streak,

 

The hall of fame baseball player, Joe DiMaggio, set an MLB record of longest hitting streak with 56 games. a.) (5pts) During this streak, DiMaggio had around 4 at-bats per game. If DiMaggio had a 0.325 batting average (i.e. his career proportion of hits per at-bat), then what is the probability that DiMaggio got at least one hit in any one game? b.) (5pts) A hitting streak is the number of consecutive games where the hitter has at least 1 hit. Assuming each game is independent and has 4 at-bats per game, then what is the probability that Joe DiMaggio would get a 56-game hitting streak in those 56 games? c.) (5pts) What is the expected number of hits DiMaggio would get in those 56 games? (He ended his streak with 91 total hits)

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