SOLUTION: 37% 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 c

Algebra ->  Probability-and-statistics -> SOLUTION: 37% 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 c      Log On


   

Question 836381: 37% 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.

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
37% 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
X~Binomial(12, 0.37)
(a) exactly three
P(X = 3) = %28matrix%282%2C1%2C12%2C3%29%29%280.37%5E3%29%280.63%5E9%29 = highlight%280.1742%29
(b) at least four
P(X ≥ 4) = = highlight%280.7053%29
(c) at most two.
P(X ≤ 2) = = highlight%280.1205%29