3. Let fx.y(x, y) be the joint probability function for the random vector (X, Y). Which of the following statement is INCORRE If X and Y are independent, then for any a, b ER fx.r(a, b) = 0 implies either fx (a) = 0 or fy (b) = 0. %3D If both X and Y are continuous random variables, then for any interval (a, b) CR and constant e E R, we must If both X and Y are discrete random variables, then for any set {bi,...,bn, a} CR, we must have fx,x (a If X and Y are independent, then for any a €R such that fx (a) > 0, we must have E(Y|X = a) = E(Y).

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3. Let fx.y (x, y) be the joint probability function for the random vector (X, Y). Which of the following statement is INCORRECT?
If X and Y are independent, then for any a, beR, fx.r(a, b) = 0 implies either fx (a) = 0 or fy (b) = 0.
If both X and Y are continuous random variables, then for any interval (a, 6) CRand constant e e R, we must have fx.x(c, y)dy < 1.
If both X and Y are discrete random variables, then for any set {bi,...,ồn, a} CR, we must have fx.x (a, bi) < 1.
If X and Y are independent, then for any a ER such that fx (a) > 0, we must have E(YX = a) = E(Y).
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Transcribed Image Text:question 3 3. Let fx.y (x, y) be the joint probability function for the random vector (X, Y). Which of the following statement is INCORRECT? If X and Y are independent, then for any a, beR, fx.r(a, b) = 0 implies either fx (a) = 0 or fy (b) = 0. If both X and Y are continuous random variables, then for any interval (a, 6) CRand constant e e R, we must have fx.x(c, y)dy < 1. If both X and Y are discrete random variables, then for any set {bi,...,ồn, a} CR, we must have fx.x (a, bi) < 1. If X and Y are independent, then for any a ER such that fx (a) > 0, we must have E(YX = a) = E(Y). Previous Save For Later Next
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