Question 3Ghana Rice Company. (GRC) sells rice to selected shops in Accra. GRC uses an automaticmachine to fill the bags of rice. Weights of the bagged rice are approximately normallydistributed with a mean of 75 kilograms and a standard deviation of 1.5 kilograms.a. Find the probability that a filled bag will weigh less than 74.4 kilograms.b. Find the probability that a randomly sampled filled bag will weigh between 73.8 and 75.6kilograms.c. Find the minimum weight a bag of rice should be and remain in the top 15% of all bags filled.d. GRC is unable to adjust the mean of the filling machine. However, it is able to adjust thestandard deviation of the filling machine. Find the standard deviation needed to be so that nomore than 2% of all filled bags weigh more than 71.5 kilograms.

“Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Answered: Question 3 Ghana Rice Company. (GRC)…

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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The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?
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The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
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