(a) Given the following f (x), compute Var(X). 0.2; x = 0 0.8 ; x = 1 0; otherwise f(x) = %3D (b) Given the following f (y), compute Var(Y). 0.2; y = 1 0.4; y = 2, 3 0; otherwise fy) = (c) Compute E(3X+2Y-5)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Could you please help me answer this question. Totally lost.
(a) Given the following f (x), compute Var(X).
0.2; x = 0
f(x) = { 0.8 ; x = 1
0; otherwise
(b) Given the following f (y), compute Var(Y).
0.2; y = 1
0.4 ; y= 2, 3
0; otherwise
fy) =
(c) Compute E(3X+2Y-5)
(d) Compute E(2X2+Y-1)
(e) If covariance between X and Y is 0.08, then compute Var(-3X+2
(f) If X, Y are independent, then compute Var(3X+2Y-5)
Transcribed Image Text:(a) Given the following f (x), compute Var(X). 0.2; x = 0 f(x) = { 0.8 ; x = 1 0; otherwise (b) Given the following f (y), compute Var(Y). 0.2; y = 1 0.4 ; y= 2, 3 0; otherwise fy) = (c) Compute E(3X+2Y-5) (d) Compute E(2X2+Y-1) (e) If covariance between X and Y is 0.08, then compute Var(-3X+2 (f) If X, Y are independent, then compute Var(3X+2Y-5)
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