SOLUTION: I really need someone to show me how to do this difficult homework problem. It was solved previously but for 16 years, not ten. Suppose the life of a certain brand of vacuum cl

Algebra ->  Probability-and-statistics -> SOLUTION: I really need someone to show me how to do this difficult homework problem. It was solved previously but for 16 years, not ten. Suppose the life of a certain brand of vacuum cl      Log On


   

Question 442452: I really need someone to show me how to do this difficult homework problem. It was solved previously but for 16 years, not ten.
Suppose the life of a certain brand of vacuum cleaner is normally distributed with a mean life of 12 years and a standard deviation of 4 years. A vacuum cleaner is randomly chosen.
7. Find the probability that it will last less than 10 years (4 digits after decimal point).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Note  'x-value'

 *Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29

     z = (10-12)/4 = -2/4 = -.5

  P(x < 10) = P(z < -.5) = .3085   |NORMSDIST(-.5)









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