QUESTION 4 Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 5%. What is the minimum weight required to be brought to the farmer's market? Round your answer to 2 decimal places. (b) He wants to use the lightest potatoes as ammunition for his potato launcher but can only spare about 5% of his crop for such frivolities. What is the weight limit for potatoes to be considered for ammunition? Round your answer to 2 decimal places. (c) Determine the weights that delineate the middle 95% of Carl's potatoes from the others. Round your answers to 2 decimal places. from to

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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QUESTION 4
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard
deviation of 0.8 ounces.
(a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants
to sell only those potatoes that are among the heaviest 5%. What is the minimum weight required to be brought to the farmer's market?
Round your answer to 2 decimal places.
(b) He wants to use the lightest potatoes as ammunition for his potato launcher but can only spare about 5% of his crop for such frivolities.
What is the weight limit for potatoes to be considered for ammunition? Round your answer to 2 decimal places.
(c) Determine the weights that delineate the middle 95% of Carl's potatoes from the others. Round your answers to 2 decimal places.
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Transcribed Image Text:QUESTION 4 Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviation of 0.8 ounces. (a) Carl only wants to sell the best potatoes to his friends and neighbors at the farmer's market. According to weight, this means he wants to sell only those potatoes that are among the heaviest 5%. What is the minimum weight required to be brought to the farmer's market? Round your answer to 2 decimal places. (b) He wants to use the lightest potatoes as ammunition for his potato launcher but can only spare about 5% of his crop for such frivolities. What is the weight limit for potatoes to be considered for ammunition? Round your answer to 2 decimal places. (c) Determine the weights that delineate the middle 95% of Carl's potatoes from the others. Round your answers to 2 decimal places. from to
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