SOLUTION: The life of a Radio Shack record player is normally distributed with a mean of 3.8 years and a standard deviation of 1.1 years. Radio Shack guarantees its record players for 2 year

Algebra ->  Probability-and-statistics -> SOLUTION: The life of a Radio Shack record player is normally distributed with a mean of 3.8 years and a standard deviation of 1.1 years. Radio Shack guarantees its record players for 2 year      Log On


   



Question 1159862: The life of a Radio Shack record player is normally distributed with a mean of 3.8 years and a standard deviation of 1.1 years. Radio Shack guarantees its record players for 2 years.
(a) Find the probability that a record player will last less than 2 years?
%
(b) Find the probability that a record player will last more than 4 years?
%

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
=(2-3.8)/1.1=-1.8/1.1, want z < -1.64 and that has probability 0.0509 not rounded, (0.0505 if -1.64 is used)
> 4 years is z >(0.2/1.1) and not rounded that is probability 0.4279