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Find the indicated probabilities using the geometric distribution, the Poisson d

ID: 3157518 • Letter: F

Question

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events arte unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A football player completes a pass 64.2% 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.

Explanation / Answer

a)

Let

C= completes pass
M = misses the pass

Hence,

P(MC) = (1-0.624)*(0.624) = 0.234624 [ANSWER]

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b)

Hence,

P(C or MC) = P(C) + P(MC) = 0.624 + (1-0.624)*(0.624) = 0.858624 [ANSWER]

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c)

Hence,

P(MM) = (1-0.624)*(1-0.624) = 0.141376 [ANSWER]

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