31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities. (a) P(3) = (Round to the nearest thousandth as needed.) (b) P(x24)= (Round to the nearest thousandth as needed.) (c) P(x ≤ 2) = (Round to the nearest thousandth as needed.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 35E
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31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four,
and (c) at most two. If convenient, use technology to find the probabilities.
(a) P(3) =
(b) P(x ≥ 4) =
(c) P(x≤2) =
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
(Round to the nearest thousandth as needed.)
Transcribed Image Text:31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities. (a) P(3) = (b) P(x ≥ 4) = (c) P(x≤2) = (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.)
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