32% 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(x2 4) = (Round to the nearest thousandth as needed.) (c) P(xs2) = (Round to the nearest thousandth as needed.)

An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. Calculate the number of blue balls in the second urn.(a) 2(b) 4(c) 6(d) 8

Solve the problem.Suppose the candidate pool for two appointed positions includes 10 women and 5 men. All candidates were told that the positions were randomly filled. Find the probability that two men are selected to fill the appointed positions. Select one: A. 0.095238 B. 0.238095 C. 0.428571 D. 0.133333

T7