A certain brand of jelly beans are made so that each package contains about the

Question

A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is not perfect, however. The packages are filled with an averageC of 375 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. Yesterday, Jane went to the store and purchased four of these packages in preparation for a Spring party. Jane was curious, and she counted the number of ielly beans in these packages. Her four bags contained an average of 382 jelly beans. Why can we use the Z table to compute the probability in the previous question? SELECT ALL APPLICABLE CHOICES A) because np>15 and n(1-p) > 15 B) because n is large in this problem because the distribution of jelly beans is Normal D) because the average is large

Explanation / Answer

Solution:

   We are given that : a certain brand of jelly beans are made so that each package contains about the same number of beans.The packages are filled with an average of 375 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8.

         Since the question says Number of jelly beans going into each bag is Normally distributed with an Average of 375 jelly beans and a standard deviation of 8 jelly beans, we can use z table to compute the probability.

Thus option C ) because the distribution of jelly beans is Normal is correct.

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