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Study guide, I want to make sure I got this question right (1) Check true or false. (a) If X ~ Exp (2/)), then Var(-2X)

Study guide, I want to make sure I got this question right

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(1) Check "true" or "false". (a) If X ~ Exp (2/)), then Var(-2X) = 12. true ; false b) If X ~ Uniform [-1, 1], then Var(-3X - 1) = 12 true ; false c) If X ~ Poisson (2) and Y ~ Poisson (1), then X + Y ~ Poisson (3). true ; false d) If X and Y are iid random variables with mean zero, then E(XY ) = 0. true ; false e) A box contains 3 red balls and 2 white balls. Sample 2 balls without replacement from the box. Then P(1st ball is red and 2nd ball is white) = P(1st ball is white and 2nd ball is red). true ; false f) If X ~ N(0, 02), then E(X3) = 0. true ; false g) IAnB = IAIB always holds. true ; false

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