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

Question

Find the indicated probabilities 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 completes a pass 60.5% 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 he completes is the second

pass)equals

(Round to three decimal places as needed.)

(b) P(the first pass he completes is the first or second

pass)equals

(Round to three decimal places as needed.)

(c) P(he does not complete his first two

passes)equals

(Round to three decimal places as needed.)

Explanation / Answer

a) P(First pass he completes in second pass) = (1 - 0.605)*0.605 = 0.239

b) P(First pass he completes in first or second pass) = 0.605 + (1-0.605)*0.605 = 0.844

c) P(Does not complete in first two passes) = 1 - 0.844 = 0.156

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