The weights of a certain brand of candies are normally distributed with a mean weight of 0.8578 g and a standard deviation of 0.0515 g. A sample of these candies came from a package containing 448 ​candies, and the package label stated that the net weight is 382.4 g.​ (If every package has 448 candies, the mean weight of the candies must exceed 382.4/448=0.8535 g for the net contents to weigh at least 382.4 ​g.  If 1 candy is randomly selected, find the probablity that it weighs more than 0.8535?

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8578 g and a standard deviation of 0.0515 g. A sample of these candies came from a package containing 448 ​candies, and the package label stated that the net weight is 382.4 g.​ (If every package has 448 candies, the mean weight of the candies must exceed 382.4/448=0.8535 g for the net contents to weigh at least 382.4 ​g.  If 1 candy is randomly selected, find the probablity that it weighs more than 0.8535?

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