Question

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is the probability that the CPU fails within three years?

Answer 1

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

$\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}$

So, our cumulative distribution function would be

$F(x)=1-e^{-\lambda x}$

We need to find the probability that the CPU fails within 3 years.

$P(X$

Hence, our required probability is 0.39.