a) A discrete random variable X has a probability function (kx, x= 2,4,6 %3D P(X = x) = k(x – 2), x=8 0, otherwise Find k hence compute E(X)

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A: Assume that X and Y are two independent discrete random variables.

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Q: If X follows the Poisson probability law such that P (x = 1) = P' (x = 2), then ind the probability…

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Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

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Q: E(Y) –> P(Y > n).

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A: # Let X and Y be dependent random variables. Which statements are always true?

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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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Q: If X and Y are two independent random variables, then E(XY) = E(X) E(Y)

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A: The joint probability distribution of the random variables is given as follows:

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A: In above question we will talk about it is true or not for probability density function(pdf)

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A: Here construct joint probability distribution table from given information

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Q: Suppose that W is a random variable with E(W4)&lt; ∞. Show thatE(W2) &lt; ∞.

A: Given: Jensen’s inequality says that if g(.) is a convex function: