The weights of a certain brand of candies are normally distributed with a mean weight of 0, 8555 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 452 385 8 and the package label stated that the net weight is 385.8 g. (If every package has 452 candies, the mean weight of the candies must exceed =D0,8536 g for the net contents to weigh at least 385 452 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g. The probability is 5146 (Round to four decimal places as needed.) b. If 452 candies are randomly selected, find the probability that their mean weight is at least 0.8536 g. The probability that a sample of 452 candies will have a mean of 0.8536 g or greater is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8555 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 452 candies,
385.8
and the package label stated that the net weight is 385.8 g. (If every package has 452 candies, the mean weight of the candies must exceed
= 0.8536 g for the net contents to weigh at least 385.8 g.)
452
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g.
The probability is5146
(Round to four decimal places as needed )
b. If 452 candies are randomly selected, find the probability that their mean weight is at least 0.8536 g.
The probability that a sample of 452 candies will have a mean of 0.8536 g or greater 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 0.8555 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 452 candies, 385.8 and the package label stated that the net weight is 385.8 g. (If every package has 452 candies, the mean weight of the candies must exceed = 0.8536 g for the net contents to weigh at least 385.8 g.) 452 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g. The probability is5146 (Round to four decimal places as needed ) b. If 452 candies are randomly selected, find the probability that their mean weight is at least 0.8536 g. The probability that a sample of 452 candies will have a mean of 0.8536 g or greater is (Round to four decimal places as needed.)
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