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 1179342: 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
one can use invnorm(.03,13.9,3.7) and the answer is 6.94 years or 6.9 years.
z=(x-mean)/sd
z(0.03)=-1.88
so -1.88=(x-13.9)/3.7
and x-13.9=-6.96
x=6.94 years or 6.9 years