In 2011, Detroit Tiger finished the season with .344 battign average. A .344 batting average means that he successfully reached base 34.4% of the time. Suppose that Cabrera's batting average was .344 for each of 161 games he played in and that he batted four times in every game he played. Also suppose that each time Cabrera bats he either gets hit or fails to get hit.
a. Let x be the number of hits that Cabrera had in game in 2011. Determine the distribution of X?
b. Determine the expected value of X?
c. Assume you randomly choose a game that Cabrera played in from 2011 season. Determine the probability that he got exactly one hit in that game?
d. Assume you randomly choose a game that Miguel played in from the 2011 season. Determine the probability that he got at least two hits in that game?