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

Question

Quizplus · Accepted Answer

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) ≈ 0.0239

Therefore, the best choice is (B).

A Candy Company Claims That Its Jelly Bean Mix Contains