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A baseball player has a .255 batting average. In other words, he gets a hit with probability 0.255 each time he comes to bat.
(a) If he comes to bat 4 times in a game, what is the probability he gets exactly 3 hits?
(b) If he comes to bat 4 times in a game, what is the expected value for the number of hits he will get?
A certain baseball player hits a home run on the average of once every 8 times at bat. Use the idea of independent trials to answer the following questions.
(a) If he bats 5 times in a game, what is the probability he will hit exactly one home run?
(b) If he comes to bat 5 times, what is the probability he will hit at least one home run?
(c) If he comes to bat 5 times in a game, what is the expected value for the number of home runs he will hit?
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