Let X and Y be two independent Poisson random variables,

  1. In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two
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  2. Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random
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  3. The random variables X1,..,Xn are independent Poisson random variables with a common parameter Lambda . Find the maximum
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  4. Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and
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  5. Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and
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  6. Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and
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  7. Rescaled Poisson random variables 2 points possible (graded) For n > 1,let Xn be a Poisson random variable with parameter 1/n .
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  8. Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0
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  9. Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0
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  10. Let N be a random variable with mean E[N]=m, and Var(N)=v; let A1, A2,… be a sequence of i.i.d random variables, all
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