The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 447 candies, and the package label stated that the net weight is 381.7 g. (If every package has 447 candies, the mean weight of the candies must exceed 381.7 =0.8539 g for the net contents to weigh at least 381.7 g.) 447

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g and a standard
deviation of 0.052 g. A sample of these candies came from a package containing 447 candies, and the package label
stated that the net weight is 381.7 g. (If every package has 447 candies, the mean weight of the candies must exceed
381.7
-=0.8539 g for the net contents to weigh at least 381.7 g.)
447
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8539 g
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8554 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 447 candies, and the package label stated that the net weight is 381.7 g. (If every package has 447 candies, the mean weight of the candies must exceed 381.7 -=0.8539 g for the net contents to weigh at least 381.7 g.) 447 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8539 g The probability is (Round to four decimal places as needed.)
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