St. Louis Cardinal baseball player Albert Pujols has a 3-year batting average (ratio of hits to at

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St. Louis Cardinal baseball player Albert Pujols has a 3-year batting average (ratio of hits to at bats) of 0.334 for the 2002–2004 seasons. Suppose Pujols has five official times at bat during his next game. Assuming no extenuating circumstances and that the binomial model will produce reasonable approximations, what is the probability of the following:

a. Pujols gets less than two hits.

b. Pujols gets more than three hits.

c. Pujols goes five-for-five (all hits).

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