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Dafna1 [17]
3 years ago
5

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th

e probability that the CPU fails within three years?
Mathematics
1 answer:
amm18123 years ago
7 0

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.

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<h3>How to find the mean, variance, and standard deviation?</h3>

The distribution is given as:

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