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 68.7% 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

This is geometric distribution

p = 0.687

P(X = x) = (1 0.687)x-1 * 0.687

a) P(X = 2) = (1 - 0.687) * 0.687 = 0.215

b) P(X = 1 or 2) = P(X = 1) + P(X = 2) = 0.687 + (1 - 0.687) * 0.687 = 0.902

c) P(does not complete his first two passes) = (1 - 0.687)2 = 0.098

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