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".
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".
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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