SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.8 years, and standard deviation of 1 years.The 2% of items with the shortest lifespan w

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Question 1147646: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.8 years, and standard deviation of 1 years.The 2% of items with the shortest lifespan will last less than how many years?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Go to a z-table and find the z-score that is closest in value to 0.02. This z-score is -2.05.

%28x+-+mean%29%2FSD+=+Zscore

%28x+-+4.8%29%2F1+=+-2.05

x+-+4.8+=+-2.05

x = 2.75