1. a) b) c) Let X and Y have the joint probability density function fx, y(x, y) = Cxy², 0
1. a) b) c) Let X and Y have the joint probability density function fx, y(x, y) = Cxy², 0
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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Transcribed Image Text:1.
a)
b)
c)
d)
f)
Let X and Y have the joint probability density function
fx, y(x, y) = Cxy²,
0<x<y<1,
What must the value of C be so that fx, y(x,y) is a valid joint p.d.f.?
Find the marginal probability density function of X, fx(x). Include its support.
Find the marginal probability density function of Y, fy(y). Include its support.
Let a>1. Find P(Y<a X).
Find P(X+Y<1).
e)
Are X and Y independent? If not, find Cov(X, Y).
zero otherwise.
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