The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing 467 ​candies, and the package label stated that the net weight is 398.6g.​ (If every package has 467 ​candies, the mean weight of the candies must exceed StartFraction 398.6 Over 467 EndFraction equals 0.8536g for the net contents to weigh at least 398.6​g.)  a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8536g. The probability is ​(Round to four decimal places as​ needed.)   b. If 467 candies are randomly​ selected, find the probability that their mean weight is at least  0.8536g.  The probability that a sample of 467 candies will have a mean of 0.8536 g or greater is ​(Round to four decimal places as​ needed.)

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