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The weights of a certain brand of candies are normally distributed with a mean w

ID: 3369590 • Letter: T

Question

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8582 g and a standard deviation of 0.0525 g. A sample of these candies came from a package containing 466 candies, and the package label stated that the net weight is 397.6 g. (f every package has 466 candies, the mean weight of the 397.6 466 candies must exceed -0.8532 g for the net contents to weigh at least 397.6 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g. The probability is (Round to four decimal places as needed.)

Explanation / Answer

Ans:

z score:

z=(0.8532-0.8582)/0.0525

z=-0.095

P(z>-0.095)=0.5379

Probability tat it weighs more than 0.8532 is 0.5379