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1 The lifetime of a computer server is exponentially distributed-(Answered)

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1 The lifetime of a computer server is exponentially distributed with mean of 3.5 years. Suppose UCD buys Nsuch servers, each with the same distribution. Let Z(N) denote the average lifetime of the UCD servers.

(a) Find the mean and the variance of Z;

(b) Use Central Limit Theorem to find the pdf of Z.

(c) Find the minimum N such that the variance of N is less than 0.5.

(d) Apply Chebychev in equality to find P(|Z ? mZ| > 0.2)

 

Paper#9256463 | Written in 27-Jul-2016

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