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Unformatted text preview: 5 minutes. Find the CDF and the expected value of Als waiting time. 3. Let be a positive number. The continuous random variable X is called exponential with parameter when its probability density function is f X ( x ) = b ex , if x , , otherwise . (a) Find the cumulative distribution function (CDF) of X . (b) Find the mean of X . (c) Find the variance of X . (d) Suppose X 1 , X 2 , and X 3 are independent exponential random variables, each with parameter . Find the PDF of Z = max { X 1 ,X 2 ,X 3 } . (e) Find the PDF of W = min { X 1 ,X 2 } . Page 1 of 1...
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 Spring '11
 Proasin
 Computer Science, Electrical Engineering

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