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(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)

(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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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(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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