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. Fifty-four percent of parents would give up cable television to have their child's education paid for. You randomly select seven parents. Find the probability that the number of parents who would give up cable television to have their child's education paid for is (a) exactly three, (b) less than four, and (c) at least three. AU (a) P(3) (Round to three decimal places as needed.) (b) P(less than four) = (Round to three decimal places as needed.) (c) P(at least three) = U (Round to three decimal places as needed.) Which of the events are unusual? Select all that apply. DAThe event (3) is unusual. P O B. The event P(less than four) is unusual . O C. The event P(at least three) is unusual. OD None of the events are unusual

Explanation / Answer

Pr(Parents who give up their cable television for payment of child's education) = 0.54

Number of parents = 7

We will use binomial distribution her e

(a) Pr(X = 3) = 7C3 (0.54)3 (0.46)4 = 0.247

(b) Pr(X <4) = P(X = 0) + P(X = 1) + P(X =2) + P(X=4) = 0.413

(c) Pr(X >=3) = 1 - Pr(0) - Pr(1) - Pr(2) = 0.834

None of the events are unusual here as all probabilities are above 0.05 level.

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