please round to 3 decimal points. Find the indicated probabilities using the geo

Question

please round to 3 decimal points.

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 67.5% of the time. Find the probability that the first pass he completes is the second pass, the first pass he completes is the first or second pass, and he does not complete his first two passes.

Explanation / Answer

geometric distribution

p = 0.675

a)

P(x=2) = 0.675 * ( 1 - 0.675) ^2-1 = 0.3194

b)

P(x=2) * P(x=1)

P(x=1) = 0.675 * ( 1 - 0.675) ^1-1 =0.675

P(x=2)=0.3194

P(first or second pass ) = 0.2156

c)

1 - P(x=2)= 1 - 0.3194 = 0.6806

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