Homework SourseThe CPU of a personal computer has a lifetime that is expone
The CPU of a personal computer has a lifetime that is exponentialy distributed with a mean lifetime of six years. What is the probability that the CPU fails within three years?
The CPU of a personal computer has a lifetime that is exponentialy distributed with a mean lifetime of six years. What is the probability that the CPU fails within three years?
Solution
here we will assume that we have a new cpu and we will calculate the probability will it fail within 3 years
ir p(x<3)
the probability density function for the exponential is
f(x) = exp( - x)
where 1/ is the mean
P(lives for only three years)
= P(X < 3)
= 0.3935
