The weights of a certain brand of candies are normally distributed with a mean weight of 0.8546g and a standard deviation of 0.0517 g. A sample of these candies came from a package containing 465 ​candies, and the package label stated that the net weight is 396.8g.​ (If every package has 465 candies, the mean weight of the candies must exceed 396.8/465=0.8533g for the net contents to weigh at least 396.8​g.)   If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8533g.   What is the probability?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8546g and a standard deviation of 0.0517
g. A sample of these candies came from a package containing 465 ​candies, and the package label stated that the net weight is 396.8g.​ (If every package has 465 candies, the mean weight of the candies must exceed 396.8/465=0.8533g for the net contents to weigh at least 396.8​g.)
 
If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8533g.
 
What is the probability?
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