According to a recent study, 20% of peanut M&M's are brown, 12% are yellow, 13% are red, 22% are blue,18% are orange, and 15% are green. Assume these proportions are correct and suppose you randomly selectfour peanut M&M's from an extra-large bag of the candies. Calculate the following probablities. Alsocalculate the mean and standard deviation of the distribution. Round all solutions to four decimal places, ifnecessary.Compute the probability that exactly two of the four M&M's are yellow.P(x = 2) =.095 xCompute the probability that two or three of the four M&M's are yellow.P(r = 2 or a = 3) =.102 xCompute the probability that at most two of the four M&M's are yellow.P(x < 2).527 xCompute the probability that at least two of the four M&M's are yellow.P(x 2).10282 xIf you repeatedly select random samples of four peanut M&M's, on average how many do you expect to beyellow?.6X yellow M&M'sWith what standard deviation?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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ompute the probability that exactly two of the four M&M's are yellow. P(x = 2) = .095 x %3D ompute the probability that two or three of the four M&M's are yellow. P(x = 2 or x = 3) .102 x %3D %3D %3D Compute the probability that at most two of the four M&M's are yellow. P(a < 2) = .527 x %3D