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5. 10 points BaBasestat75 2.015 My M&M; plain candies come in various colors. Ac

ID: 3061383 • Letter: 5

Question

5. 10 points BaBasestat75 2.015 My M&M; plain candies come in various colors. According to the M&M;/Mars Department of Consumer Affairs, the distribution of colors for plain M&M; candies is as follows. Purple Yellow Red Orange Green Blue Brown Suppose you have a large bag of plain M&M; candies and you choose one candy at random. (a) Find Plgreen candy or blue candy). Are these outcomes mutually exclusive? Why? O No. Choosing a green and blue M&M; is possible O Yes. Choosing a green and blue M&M; is possible. O No. Choosing a green and blue M8M is not possible O Yes. Choosing a green and blue M&M; is not possible. (b) Find Plyellow candy or red candy). Are these outcomes mutually exclusive? Why? O Yes. Choosing a yellow and red M&M; is possible O No. Choosing a yellow and red MSM is not possible. O Yes. Choosing a yellow and red M&M; is not possible O No. Choosing a yellow and red M&M; is possible (c) Find Plnot purple candy). Need Help?

Explanation / Answer

a) P(Green candy or Blue candy ) = P(green candy )+P(blue candy) = 0.06+0.07 = 0.13

Yes choosing a green and blue candy M &M is not possible.

b) P(Yellow or red candy ) = P(Yellow)+P(Red candy) = 0.18+0.18 = 0.36

Yes, choosing a yellow and red M&M is not possible.

c) P(not Purple candy ) = 1-P(purple candy) = 1- 0.21 =0.79

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