A candy company claims that its jelly bean mix contains 15% blue jelly beans.Suppose that the candies are packaged at random in small bags containing about 200 jelly beans.What is the probability that a bag will contain more than 20% blue jelly beans?

A) 0.9761
B) 0.0239
C) 0.0422
D) 0.0478
E) 0.9578

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jesse bundang · Accepted Answer

Final Answer : B, Explanation :  Let X be the number of blue jelly beans in a bag of 200 jelly beans. Then X follows a binomial distribution with n=200 and p=0.15.To find the probability of a bag containing more than 20% blue jelly beans, we need to find P(X>0.20*200) = P(X>40).Using the binomial distribution formula or a calculator, we get:P(X>40) = 1 - P(X<=40) = 1 - binomdist(40, 200, 0.15, true) ≈ 0.0239Therefore, the best choice is (B).

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A candy company claims that its jelly bean mix contains 15% blue jelly beans.Suppose that the candies are packaged at random in small bags containing about 200 jelly beans.What is the probability that a bag will contain more than 20% blue jelly beans?A) 0.9761B) 0.0239C) 0.0422D) 0.0478E) 0.9578

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