Question #1: The joint pdf of a bivariable r.v. (X,Y) is given by: fxy(x,y) = {kx=(4,-) a) Find the value of k. b) Find

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Question 1 The Joint Pdf Of A Bivariable R V X Y Is Given By Fxy X Y Kx 4 A Find The Value Of K B Find 1 (34.87 KiB) Viewed 29 times

Question #1: The joint pdf of a bivariable r.v. (X,Y) is given by: fxy(x,y) = {kx=(4,-) a) Find the value of k. b) Find the marginal pdf's of X and Y. c) Are X and Y independent? O sys1,0 5*S2) Otherwise Question #2: The joint CDF function of two random variables X and Y is: Fxx(x,y) = 0.22u(x - 1)(y-2) +0.288(x)u(y) +0.28(x - 2)u(y - 1) + 0.17u(x - 3)u(y) +0.13u(x - 4)u(y-2) Find and sketch the two-marginal distributions Fx(x) and Fyy). Question # 3: For the two random variables: fx.x(x,y) = 0.188(x + 1)8(y) + 0.258(x)8(y) + 0.178(x - 1)8(y - 1) + 0.158(x - 2)8(y - 1) +0.138(x - 3)(y-2) +0.218(x - 5)(y-2) Find: a) The Correlation b) The Covariance. c) The Correlation Coefficient of X and Y. d) Are X and Y either uncorrelated or orthogonal?