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Find the indicated probability using the geometric distribution, the Poisson dis

ID: 3226433 • Letter: F

Question

Find the indicated probability using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A football player a pass 87.9% of the time. Find the probability that (a) the first pass he completes is the second pass, (b) the first pass he completes is the first or second pass, and (c) he does not complete his first two passes. (a) P(the first pass the completes is the second pass) = (Round to three decimal places as needed.) (b) P(the first pass the completes is the first or second pass) = (Round to three decimal places as needed.) (c) P(the does net completes his first two passes.) = (Round to these decimal places as needed.) Which of the events are unusual? Select all that apply. A. The event in part (a), P(the first pass the completes is the second pass), is unusual. B. The event in par (b), P(the does not completes is the first or second pass), is unusual. C. The event in part (c), P(the does not completes his first two passes), Is unusual. D. None of the events are unusual.

Explanation / Answer

football player completes a pass 67.9% i.e P(pass complete) = 0.679

a)

P(first pass he complete is the second pass) = P(incorect first pass) * P(correct second pass)

                                                              = 0.321 * 0.679 = 0.217959

b)P(first pass he complete is the second pass) = P(first pass he complete is the first pass) + P(first pass he complete is the second pass)

                                                      = 0.679 + 0.217959 = 0.896959

c)

P(he does not complete his first two pass) = P(incorect first pass) * P(incorect second pass)

                                                              = 0.321* 0.321 = 0.103041

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