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A manufacturer wishes to give a safe guarantee for his product against manufacturing defects. He proposes to replace a product if it fails to work any time within the period of guarantee. He considers that a guarantee period is safe if he is required to replace not more than 6% of his products that fail within the period of guarantee. If the lifetime of his product is normal distributed with mean life 2 years and standard deviation 4 months, then what should be the maximum period of guarantee, in terms of whole months, so that the guarantee is safe for him.

A manufacturer wishes to give a safe guarantee for his product against manufacturing defects. He proposes to replace a product if it fails to work any time within the period of guarantee. He considers that a guarantee period is safe if he is required to replace not more than 6% of his products that fail within the period of guarantee. If the lifetime of his product is normal distributed with mean life 2 years and standard deviation 4 months, then what should be the maximum period of guarantee, in terms of whole months, so that the guarantee is safe for him.

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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A manufacturer wishes to give a safe guarantee for his product against manufacturing defects. He proposes to replace a product if it fails to work any time within the period of guarantee. He considers that a guarantee period is safe if he is required to replace not more than 6% of his products that fail within the period of guarantee. If the lifetime of his product is normal distributed with mean life 2 years and standard deviation 4 months, then what should be the maximum period of guarantee, in terms of whole months, so that the guarantee is safe for him.
Transcribed Image Text:A manufacturer wishes to give a safe guarantee for his product against manufacturing defects. He proposes to replace a product if it fails to work any time within the period of guarantee. He considers that a guarantee period is safe if he is required to replace not more than 6% of his products that fail within the period of guarantee. If the lifetime of his product is normal distributed with mean life 2 years and standard deviation 4 months, then what should be the maximum period of guarantee, in terms of whole months, so that the guarantee is safe for him.
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