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A firm produces sugar packages in 2 Kg bags. The actual weight of the sugar in one of those bags is normally distributed with mean 2.04 Kg and standard deviation 0.08 (Kg). a) Calculate the probability that one randomly selected bag contains between 1.85 Kg and 2.15 Kg of sugar. b) A bag of sugar is identified as a “best quality" if it is included in the top 2% of all bags (in terms of weight). Find the minimum Kg needed to be qualified as "hest quality".

A firm produces sugar packages in 2 Kg bags. The actual weight of the sugar in one of those bags is normally distributed with mean 2.04 Kg and standard deviation 0.08 (Kg). a) Calculate the probability that one randomly selected bag contains between 1.85 Kg and 2.15 Kg of sugar. b) A bag of sugar is identified as a “best quality" if it is included in the top 2% of all bags (in terms of weight). Find the minimum Kg needed to be qualified as "hest quality".

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A firm produces sugar packages in 2 Kg bags. The actual weight of the sugar in one of those bags is normally distributed with mean 2.04 Kg and standard deviation 0.08 (Kg). a) Calculate the probability that one randomly selected bag contains between 1.85 Kg and 2.15 Kg of sugar. b) A bag of sugar is identified as a “best quality" if it is included in the top 2% of all bags (in terms of weight). Find the minimum Kg needed to be qualified as “best quality".
Transcribed Image Text:A firm produces sugar packages in 2 Kg bags. The actual weight of the sugar in one of those bags is normally distributed with mean 2.04 Kg and standard deviation 0.08 (Kg). a) Calculate the probability that one randomly selected bag contains between 1.85 Kg and 2.15 Kg of sugar. b) A bag of sugar is identified as a “best quality" if it is included in the top 2% of all bags (in terms of weight). Find the minimum Kg needed to be qualified as “best quality".
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