The official website of Major League Baseball, MLB. com, records detailed statistics

about players and games. During the 2012 regular season, Dustin Pedroia of the Boston

Red Sox had a batting average of 0.290. The graphs below show the number of hits he

had in games in which he had different numbers of at- bats.

Construct a probability distribution for

The number of hits in games with three at-bats.

The number of hits in games with four at-bats.

The number of hits in games with five at-bats.

Construct binomial probability distributions for p = 0.290 and

n = 3.

n = 4.

n = 5.

Compare your distributions from Exercise 1 and Exercise 2. Is a binomial

distribution a good model for determining the numbers of hits in a baseball game

for a given number of at-bats? Explain your reasoning and include a discussion of

the four conditions for a binomial experiment.