SOLUTION: Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. A) find the probability that a randomly selected TV will

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Question 318448: Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years.
A) find the probability that a randomly selected TV will have a replacement time less than 6.0 years.
B) If you want to provide a warranty so that only 1% of the TV sets will be replaced before the warranty expires, what is the time length of that warranty?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Find the z score.
z=%28x-mu%29%2Fsigma=%286-8.2%29%2F1.1
z=-2
P%28x+%3C=+-2%29=0.02275
.
.
.
b) Find z so that P(z)=0.01.
z=-2.3264
%28x-8.2%29%2F1.1=-2.3264
x-8.2=-2.559
x=5.64 yrs