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Based on the American Chemical Society, there is 0.9 probability that in the U.S

ID: 3246249 • Letter: B

Question


Based on the American Chemical Society, there is 0.9 probability that in the U.S, a randomly selected dollar bill is tainted with traces of cocaine. Assume that eight dollar bills are randomly selected. a. Find the probability that all eight of the dollar bills have traces of cocaine. You may use the calculator or Table A-1. If you use Table A-1, please indicate so. b. Find the probability that exactly seven of the dollar bills have traces of cocaine. You may use the calculator or Table A-1. If you use Table A-1, please indicate so. c. Find the probability that at least seven of the dollar bills have traces of cocaine. You may use the calculator or Table A-1. If you use Table A-1, please indicate so.

Explanation / Answer

Answer to the questions below:

p = .9 that it' tainted by cocaine

a. P(X=8 out 8 are tainted) = 0.9^8 = .4305

b. P(X = 7 out of 8 are tainted) = 8C7(.9^7)(.1^1) = .3826

c. P(X>=7 out of 8 are tainted) = P(X=7 out of 8) + P(X = 8 out of 8) = .3826+.4305 = .8131

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