(L&K 4.9) Suppose X is a discrete random variable with px(x) = 0.25 for x = -2, -1, 1, 2. Let Y also be a discrete random variable such that Y = X2. Show that Cov(X,Y)= 0. Therefore, uncorrelated random variables are not necessarily independent.

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A: The given X is a random variable with EX=50 and VarX=12.

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A: Solution

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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A: PMF of X is given by, P(X=x) = p(1-p)x-1 , x=1,2,3.... Now,  ⇒P(X≥x)= ∑t=x∞ P(X=t)= ∑t=x∞p(1-p)t-1 =…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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A: We have given the following statement.

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