The weights of a certain brand of candies are normally distributed with a mean weight of XXXXXXXXXXg and a standard deviation of XXXXXXXXXXg. A sample of these candies came from a package containing...

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.0514 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 381.7/447= 0.8539 g for the net contents to weigh at least 381.7 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8539 g. b. If candies are randomly​ selected, find the probability that their mean weight is at least 0.8539 g. The probability that a sample of candies will have a mean of g or greater is...