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4 (30') The continuous type random variables X and Y have joint pdf for 0

4 (30') The continuous type random variables X and Y have joint pdf for 0

MATLAB: An Introduction with Applications
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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5/6 100% 4 (30') The continuous type random variables X and Y have joint pdf fxx(z,y) = { for 0 <I<4 and 0 < y< 2; 0, elsewise. CI, (a) Determine the value of c. (b) Find marginal pdf fx(x) and fy(y). (c) Are X and Y independent? Why? (d) What are the values of E(X), E(Y), Var(X), and Var(Y)? (e) Find Rx.y, Cov(X, Y) and px,Y. [Hint of (e): if X and Y are independent, E(XY) = E(X)E(Y). 1
Transcribed Image Text:5/6 100% 4 (30') The continuous type random variables X and Y have joint pdf fxx(z,y) = { for 0 <I<4 and 0 < y< 2; 0, elsewise. CI, (a) Determine the value of c. (b) Find marginal pdf fx(x) and fy(y). (c) Are X and Y independent? Why? (d) What are the values of E(X), E(Y), Var(X), and Var(Y)? (e) Find Rx.y, Cov(X, Y) and px,Y. [Hint of (e): if X and Y are independent, E(XY) = E(X)E(Y). 1
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