Joltin’Joe Assume that a baseball player hits .350, so his probability of a hit is 0.350.

(Ignore the complications caused by walks.) Also assume that his hitting attempts are independent of each other.

a. Find the probability of at least 1 hit in 4 tries in 1 game.

b. Assuming that this batter gets up to bat 4 times each game, estimate the probability of getting a total of at least 56 hits in 56 games.

c. Assuming that this batter gets up to bat 4 times each game, find the probability of at least 1 hit in each of 56 consecutive games (Joe DiMaggio’s 1941 record).

d. What minimum batting average would be required for the probability in part

(c) to be greater than 0.1?