The average lifespan of a CleanFreek dishwasher is normally distributed with a mean of 8 years and a standard deviation of 1.5 years. Standard Normal Distribution Table a. What is the probability that a CleanFreek dishwasher will last longer than 12 years? P(X > 12)=   b. What is the probability that a CleanFreek dishwasher will last fewer than 8 years? P(X < 8)=   c. What length warranty should be established on the dishwashers so that no more than 1.6% of the units will need to be replaced under warranty? x= years Round to 2 decimal places.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The average lifespan of a CleanFreek dishwasher is normally distributed with a mean of 8 years and a standard deviation of 1.5 years.

Standard Normal Distribution Table

a. What is the probability that a CleanFreek dishwasher will last longer than 12 years?
P(X > 12)=

 


b. What is the probability that a CleanFreek dishwasher will last fewer than 8 years?
P(X < 8)=

 


c. What length warranty should be established on the dishwashers so that no more than 1.6% of the units will need to be replaced under warranty?
x=

years
Round to 2 decimal places.
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