Question: PROBLEM 3 Let X and Y be two discrete random variables, where Y- Poisson( 2. ) and the conditional distribution of X given Y =

 PROBLEM 3 Let X and Y be two discrete random variables,
where Y- Poisson( 2. ) and the conditional distribution of X given

PROBLEM 3 Let X and Y be two discrete random variables, where Y- Poisson( 2. ) and the conditional distribution of X given Y = y follows Binomial(y. p). a. What is the marginal distribution of X? b. Let Z-Y-X, are X and Z independent? Justify your

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