SOLUTION: A TV manufacturer knows that their TV's have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 1.8 years. If a TV is picked at random, 1% of t

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Question 1157425: A TV manufacturer knows that their TV's have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 1.8 years.
If a TV is picked at random, 1% of the time its life will be less than how many years?
Give your answer to one decimal place.

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Go to a z-table and find which z-score corresponds to a value of 0.01. The closest z-score is -2.33:

%28x+-+mean%29%2FSD = -2.33

%28x+-+7.5%29%2F1.8 = -2.33

x - 7.5 = -2.33(1.8)

x - 7.5 = -4.194

x = 3.306