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Question Part Points Submissions Used A certain baseball player hits a home run

ID: 3224397 • Letter: Q

Question

Question Part Points Submissions Used A certain baseball player hits a home run on the average of once every 10 times at bat. Use the idea of independent trials to answer the following questions. (a) If he bats 4 times in a game, what is the probability he will hit exactly one home run?


(b) If he comes to bat 4 times, what is the probability he will hit at least one home run?


(c) If he comes to bat 4 times in a game, what is the expected value for the number of home runs he will hit? Question Part Points Submissions Used A certain baseball player hits a home run on the average of once every 10 times at bat. Use the idea of independent trials to answer the following questions. (a) If he bats 4 times in a game, what is the probability he will hit exactly one home run?


(b) If he comes to bat 4 times, what is the probability he will hit at least one home run?


(c) If he comes to bat 4 times in a game, what is the expected value for the number of home runs he will hit? Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used A certain baseball player hits a home run on the average of once every 10 times at bat. Use the idea of independent trials to answer the following questions. (a) If he bats 4 times in a game, what is the probability he will hit exactly one home run?


(b) If he comes to bat 4 times, what is the probability he will hit at least one home run?


(c) If he comes to bat 4 times in a game, what is the expected value for the number of home runs he will hit? A certain baseball player hits a home run on the average of once every 10 times at bat. Use the idea of independent trials to answer the following questions. (a) If he bats 4 times in a game, what is the probability he will hit exactly one home run?


(b) If he comes to bat 4 times, what is the probability he will hit at least one home run?


(c) If he comes to bat 4 times in a game, what is the expected value for the number of home runs he will hit? (a) If he bats 4 times in a game, what is the probability he will hit exactly one home run?


(b) If he comes to bat 4 times, what is the probability he will hit at least one home run?


(c) If he comes to bat 4 times in a game, what is the expected value for the number of home runs he will hit? Question Part Points Submissions Used

Explanation / Answer

a) P(exactly 1 home run) = 4 x(1/10) x(9/10)3 = 0.2916

b) P(at least 1 home run) = 1 - P(0 home runs) = 1 - (9/10)4 = 0.6561

c) Expected number of home runs he will hit = 4x1/10 = 0.4

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