4.39 Colors of M&M;\'S. The colors of candies such as M&M;\'S are carefully chos

Question

4.39 Colors of M&M;'S. The colors of candies such as M&M;'S are carefully chosen to match consumer preferences. The color of an M&M; drawn at random from a bag has a probability distribution determined by the proportions of colors among all M&M;'S of that type. (a) Here is the distribution for plain M&M;'S: Color Probability 0.24 0.20 0.16 0.14 0.14 ? Blue Orange Green Brown Yellow Red What must be the probability of drawing a red candy? (b) What is the probability that a plain M&M; is any of orange, green, or yellow?

Explanation / Answer

a) P( Drawing a red candy ) = 1-0.24-0.20-0.16-0.14-0.14 = 0.12

b) P( Organe , green or Yellow) = 0.20+0.16+0.14 = 0.50

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