The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 9 and a standard deviation of 0.0524 g. A sample of these candies came from a package containing 467 candies, 398.7 and the package label stated that the net weight is 398.7 g. (If every package has 467 candies, the mean weight of the candies must exceed 7 =0.8538 g for the net contents to weigh at least 398.7 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8538 g. The probability is (Round to four decimal places as needed.) b. It 467 candies are randomly selected, find the probability that their mean weight is at least 0 8538 g. The probability that a sample of 467 candies will have a mean of 0.8538 g or greater is(!] (Round to four decimal places as needed.) c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? because the probability of getting a sample mean of 0:8538 g or greater when 467 candies are selected exceptionally small