Based on the American Chemical Society there is a 0.9 probability that in the Un

Question

Based on the American Chemical Society there is a 0.9 probability that in the United States a randomly selected dollar bill is tainted with traces of cocaine. A. find the probability that all of them have traces of cocaine.
B.Find the probability that exactly seven of them have traces of cocaine.
C.Find the probability that the number of the dollar bills with traces of cocaine is seven or more.
D. If we randomly select the eight dollar bills, is seven an unusually high number for those with traces of cocaine. Based on the American Chemical Society there is a 0.9 probability that in the United States a randomly selected dollar bill is tainted with traces of cocaine. A. find the probability that all of them have traces of cocaine.
B.Find the probability that exactly seven of them have traces of cocaine.
C.Find the probability that the number of the dollar bills with traces of cocaine is seven or more.
D. If we randomly select the eight dollar bills, is seven an unusually high number for those with traces of cocaine. A. find the probability that all of them have traces of cocaine.
B.Find the probability that exactly seven of them have traces of cocaine.
C.Find the probability that the number of the dollar bills with traces of cocaine is seven or more.
D. If we randomly select the eight dollar bills, is seven an unusually high number for those with traces of cocaine.

Explanation / Answer

probability that they will be tainted with cocaine = 0.9

probability not tainted with cocaine = 0.1

n = 8

a) we will use the binomial formula here

p(x= 8) = 8C8*(0.9)^8*(0.1)^0 = 0.430

B) P(X= 7) = 8C7*(0.9)^7*(0.1)^1 = 0.382

C) NOW WE NEED TO FIND P(X>= 7) = P(7)+P(8) = 0.430+0.382 = 0.812

D) AS THE PROBABILITY OF GETTING 7 IS 0.383 WHICH IS QUITE A SUFFICIENT PROBABILITY TO SAY THAT NO IT IS NOT AN UNSUUALLY HIGH NUMBER.

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