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Problem 3. Let X be random variable with dom(X)={0,1,2,,9} and the probability mass function (PMF) pX(x)=P[X=x]=101forxdom(X). (a) Find the PMF of random variable Z=Xmod3. (b)

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Problem 3. Let X be random variable with dom(X)={0,1,2,,9} and the probability mass function (PMF) pX(x)=P[X=x]=101forxdom(X). (a) Find the PMF of random variable Z=Xmod3. (b) Compute E[Z] (c) Compute Var(Z)

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