Let X and Y have the joint pdf:fx,x(x,y) = {2+3, 0≤x≤ 1,0 ≤ y ≤1;0,otherwise.(a) Determine the marginal probability density function of Y [fy (y)](b) Determine P(X+Y < 1/2)(c) Determine E(X)(d) Determine E(X|Y = y)(e) Determine var(X)(f) Determine var(X|Y = y)(g) Determine corr(X, Y)

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A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X and Y have the joint pdf: x+y, 0, fx,y(x, y) = {{ 0≤x≤ 1,0 ≤ y ≤ 1; otherwise. (a) Determine the marginal probability density function of Y [fy (y)] (b) Determine P(X+Y<1/2) (c) Determine E(X)