SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.9 years, and standard deviation of 3.7 years. The 3% of items with the shortest lif

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Question 1179422: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.9 years, and standard deviation of 3.7 years.
The 3% of items with the shortest lifespan will last less than how many years? (Give your answer to one decimal place.)

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Distribution: approximately normal with µ = 13.9 and σ = 3.7
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
The 3% of items with the shortest lifespan will last less than how many years?

invNorm( .03, 13.9, 3.7)  = 6.9
The 3% of items with the shortest lifespan will last less than 6.9 yrs

Wish You the Best in your Studies.

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