Please include a picture of your solution and explain why you chose the intervals for x and y. Thanks (6)The continuous random variables X and Y have a joint p.d.f.3x, for 0 ≤ y ≤x≤1{otherwise.Find the covariance of X and Y, C[X,Y].f(x, y) =0,

The continuous random variables and have a joint probability density function (PDF) as follows:

Answered: (6) The continuous random variables X…

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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Please include a picture of your solution and explain why you chose the intervals for x and y. Thanks

(6)
The continuous random variables X and Y have a joint p.d.f.
3x, for 0 ≤ y ≤x≤1
{
otherwise.
Find the covariance of X and Y, C[X,Y].
f(x, y) =
0,

Expert Solution

Step 1: Given information

The continuous random variables $X$ and $Y$ have a joint probability density function (PDF) as follows:

$f open parentheses x comma y close parentheses equals open curly brackets table row cell 3 x space space semicolon space text for end text space 0 less or equal than y less or equal than x less or equal than 1 end cell row cell space 0 space space space space semicolon space text otherwise end text end cell end table close$