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Boxes are labeled as containing 700 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 14 g. (a) If the target weight is 700 g, what is the probability that the machine produces a box with less than 680 g of cereal? (Round your answer to three decimal places.) 0.077 (b) Suppose a law states that no more than 5% of a manufacturer's cereal boxes can contain less than the stated weight of 700 g. At what target weight should the manufacturer set its filling machine? (Round your answer to the nearest gram.) 720

Boxes are labeled as containing 700 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 14 g. (a) If the target weight is 700 g, what is the probability that the machine produces a box with less than 680 g of cereal? (Round your answer to three decimal places.) 0.077 (b) Suppose a law states that no more than 5% of a manufacturer's cereal boxes can contain less than the stated weight of 700 g. At what target weight should the manufacturer set its filling machine? (Round your answer to the nearest gram.) 720

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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Boxes are labeled as containing 700 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 14 g. (a) If the target weight is 700 g, what is the probability that the machine produces a box with less than 680 g of cereal? (Round your answer to three decimal places.) 0.077 (b) Suppose a law states that no more than 5% of a manufacturer's cereal boxes can contain less than the stated weight of 700 g. At what target weight should the manufacturer set its filling machine? (Round your answer to the nearest gram.) 720 X 9
Transcribed Image Text:Boxes are labeled as containing 700 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 14 g. (a) If the target weight is 700 g, what is the probability that the machine produces a box with less than 680 g of cereal? (Round your answer to three decimal places.) 0.077 (b) Suppose a law states that no more than 5% of a manufacturer's cereal boxes can contain less than the stated weight of 700 g. At what target weight should the manufacturer set its filling machine? (Round your answer to the nearest gram.) 720 X 9
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