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3.1 Solve the below problem: Let Y, and Y2 have a joint density function given by 0 < y2 s y1 S 1 elsewhere. (3y1 %3D 3.1.1. The marginal density function for Y2 is f(y2) =(1- y?), 0 < y2 < 1. Find the marginal density function of Y,. (NB: Show all your calculations) 3.1.2. The conditional density of Y2 given Y, = y, is f(y2ly1) =. Find E (Y2|Y, = y1). 0 < y2 < y1 < 1.

3.1 Solve the below problem: Let Y, and Y2 have a joint density function given by 0 < y2 s y1 S 1 elsewhere. (3y1 %3D 3.1.1. The marginal density function for Y2 is f(y2) =(1- y?), 0 < y2 < 1. Find the marginal density function of Y,. (NB: Show all your calculations) 3.1.2. The conditional density of Y2 given Y, = y, is f(y2ly1) =. Find E (Y2|Y, = y1). 0 < y2 < y1 < 1.

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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3.1 Solve the below problem: Let Y, and Y, have a joint density function given by [3y1 0 < y2 s y1 S 1 elsewhere. %3D 3.1.1. The marginal density function for Y2 is f(y2) = (1- y?), 0 < y2 < 1. Find the marginal density function of Y,. (NB: Show all your calculations) 3.1.2. The conditional density of Y2 given Y, = y1 is f(y2ly1) =. Find E (Y2|Y, = y1). 0 < y2 < y1 < 1.
Transcribed Image Text:3.1 Solve the below problem: Let Y, and Y, have a joint density function given by [3y1 0 < y2 s y1 S 1 elsewhere. %3D 3.1.1. The marginal density function for Y2 is f(y2) = (1- y?), 0 < y2 < 1. Find the marginal density function of Y,. (NB: Show all your calculations) 3.1.2. The conditional density of Y2 given Y, = y1 is f(y2ly1) =. Find E (Y2|Y, = y1). 0 < y2 < y1 < 1.
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