4. ABC Dog Food Company located in Ottawa sells large bags of dog food to warehouseclubs. ABC uses an automatic filling process to fill the bags. Weights of the filled bags areapproximately normally distributed with a mean of 50 kilograms and a standarddeviation of 1.25 kilograms.(a) What is the probability that a filled bag will weigh less than 49.5 kilograms?(b) What is the probability that a randomly sampled filled bag will weigh between 48.5and 51 kilograms?(c) What is the minimum weight a bag of dog food could be and remain in the top 15%of all bags filled?(d) ABC is unable to adjust the mean of the filling process. However, it is able to adjustthe standard deviation of the filling process. What would the standard deviation needto be so that 2% of all filled bags weigh more than 52 kilograms?

The detailed solution is given in Step 2.

Answered: 4. ABC Dog Food Company located in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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