A candy company has calibrated their machines to fill each bag of candy to an average weight of 500 grams with a standard deviation of 5 grams. The company tests the consistency of their machines by taking a sample of 25 bags and weighing them. a-  What is the probability that the average weight of candy bags in the sample is less than 498 grams?  b-  What is the probability that the sample average is between 498 and 503?  c-  Below what value do 90% of the sample means fall? Tgis question are related to qba201 course!

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A candy company has calibrated their machines to fill each bag of candy to an average weight of 500 grams with a standard deviation of 5 grams. The company tests the consistency of their machines by taking a sample of 25 bags and weighing them.

a-  What is the probability that the average weight of candy bags in the sample is less than 498 grams? 

b-  What is the probability that the sample average is between 498 and 503? 

c-  Below what value do 90% of the sample means fall?

Tgis question are related to qba201 course!

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