Question: 4. (12 points) Consider twosequences of random variables Xn and Yn, n = 1, 2, and a random variable X. We are given that

4. (12 points) Consider twosequences of random variables Xn and Yn, n = 1, 2, and a random variable X. We are given that P(IXn = 1, for all n. Also E(Yn) as n N. (a) Find - XI). Explain steps. (b) Prove that Xn 9 X in probability as n + x.

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