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

ID: 3363572 • Letter: T

Question

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8546 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 466 candies, and the package label stated that the net weight is 398.0 g. (If every package has 466 candies, the mean weight of the candies must exceed 398.0 0.8541 g for the net contents to weigh at least 398.0 g.) 466 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8541 g The probability is (Round to four decimal places as needed.)

Explanation / Answer

Ans:

Mean=0.8546

standard deviation=0.052

z=(0.8541-0.8546)/0.052=-0.0096

P(z>-0.0096)=0.5038