The weights of a certain brand of candies are normally distributed with a mean weight of 0.8611 g and a standard deviation of 0.0512 g. A sample of these candies came from a package containing 455 candies, and the package label stated that the net weight is 388.4 g. (If every package has 455 candies, the mean weight of the candies must exceed 388.4 = 0.8536 g for the net contents to weigh at least 388.4 g.) 455 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g. The probability is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8611 g and a standard
deviation of 0.0512 g. A sample of these candies came from a package containing 455 candies, and the package label
stated that the net weight is 388.4 g. (If every package has 455 candies, the mean weight of the candies must exceed
388.4
= 0.8536 g for the net contents to weigh at least 388.4 g.)
455
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g
The probability 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 0.8611 g and a standard deviation of 0.0512 g. A sample of these candies came from a package containing 455 candies, and the package label stated that the net weight is 388.4 g. (If every package has 455 candies, the mean weight of the candies must exceed 388.4 = 0.8536 g for the net contents to weigh at least 388.4 g.) 455 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g The probability is (Round to four decimal places as needed.)
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