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Let the 2-dimensional random variables (X, Y) have joint uniform density function f(x,y) = ²,0≤x≤3, 0≤y≤2. 1. Find P[0 < X < ¹,0

Let the 2-dimensional random variables (X, Y) have joint uniform density function f(x,y) = ²,0≤x≤3, 0≤y≤2. 1. Find P[0 < X < ¹,0

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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Let the 2-dimensional random variables (X, Y) have joint uniform density function f(x,y) = ²,0≤x≤3, 0≤y≤2. 1. Find P[0 < X < 1,0 <Y <¹]. 2. Find the marginal pdf of X. 3. Find the conditional pdf of Y given X=x. 4. Find E[X] and E[X²] using the marginal pdf of X.
Transcribed Image Text:Let the 2-dimensional random variables (X, Y) have joint uniform density function f(x,y) = ²,0≤x≤3, 0≤y≤2. 1. Find P[0 < X < 1,0 <Y <¹]. 2. Find the marginal pdf of X. 3. Find the conditional pdf of Y given X=x. 4. Find E[X] and E[X²] using the marginal pdf of X.
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