Unformatted text preview: 2 p 0.5 0.5 and Y 2 4 p 0.3 0.7 Find the Moment Generating Function of Z=Y X . 3. Let X and Y be independent exponential random variables with the expectations 1/ ± and 1/ μ respectively. Find the Probability Density Function (PDF) of Z=X+Y. 4. Let X have a binomial distribution with parameters n and p , and let the conditional distribution of Y given x X = be Poisson with mean x . What is the variance of Y ?...
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- Fall '08
- Probability theory, probability density function, probability mass functions, Common Qualifying Exam