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Unformatted text preview: p X,Y ( x,y ). (d) Find the marginal PMF p Y ( y ). (e) Find the conditional PMF p X  Y ( x  y ). Do this algebraically using previous answers. (f) Based on an intuitive interpretation of part (a), rederive your answer to part (e). 1 Published September 23, 2008 Page 1 of 2 Massachusetts Institute of Technology Department of Electrical Engineering &amp; Computer Science 6.041/6.431: Probabilistic Systems Analysis (Fall 2008) 3. Problem 2.32, page 128 of the text. D. Bernoullis problem of joint lives. Consider 2 m persons forming m couples who live together at a given time. Suppose that at some later time, the probability of each person being alive is p , independently of other persons. At that later time, let A be the number of persons that are alive and let S be the number of couples in which both partners are alive. For any number of total surviving persons a , nd E [ S  A = a ]. Page 2 of 2...
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 Spring '11
 Proasin
 Computer Science, Electrical Engineering, Probability, Probability theory, Joe Lucky

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