3. Suppose that discrete random variables \( X \) and \( Y \) have the following incomplete joint distribution table. \[\begin{array}{c|cc|c}X \backslash Y & 0 & 1 & p_X(x) \\\hline-1 & 0.18 & & \\1 & & 0.6 & \\\hlinep_Y(y) & 0.3 & & \\\end{array}\](a) Complete the table above. Are \( X \) and \( Y \) independent? Briefly explain how you determined this.(b) Find \( E(X + Y) \).(c) Find \( \text{Var}(X + Y) \).

Farmula used V(X+Y)=V(X)+V(Y)-2Cov(X,Y)

Answered: 3. Suppose that discrete random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. Suppose that discrete random variables X and Y have the following incomplete joint distri- bution table. X (b) Find E(X+Y). (c) Find Var(X+Y). Y -1 1 Py (y) 0 1 px (x) 0.18 0.6 0.3 (a) Complete the table above. Are X and Y independent? Briefly explain how you deter- mined this.