2) Let the joint probability function of X & Y be defined by Pxx (x, y) = x= 1,2 y = 1,2,3 Find E(X+Y). Find Pxy (xly). What is Pxy (x2)? What is Px|y (212)? Find Py|x (vlx). What is Pyx (12)? What is Py|x (212)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please do these 3 Qs in excel or show steps, thank you. Do not randomly write wrong answer if don't know how to solve
2) Let the joint probability function of X and Y be defined by \( P_{X,Y}(x,y) = \frac{x+y}{21} \), where \( x = 1, 2 \) and \( y = 1, 2, 3 \).

Tasks:
- Find \( E(X+Y) \).
- Find \( P_{X|Y}(x|y) \). What is \( P_{X|Y}(x|2) \)? What is \( P_{X|Y}(2|2) \)?
- Find \( P_{Y|X}(y|x) \). What is \( P_{Y|X}(y|2) \)? What is \( P_{Y|X}(2|2) \)?
Transcribed Image Text:2) Let the joint probability function of X and Y be defined by \( P_{X,Y}(x,y) = \frac{x+y}{21} \), where \( x = 1, 2 \) and \( y = 1, 2, 3 \). Tasks: - Find \( E(X+Y) \). - Find \( P_{X|Y}(x|y) \). What is \( P_{X|Y}(x|2) \)? What is \( P_{X|Y}(2|2) \)? - Find \( P_{Y|X}(y|x) \). What is \( P_{Y|X}(y|2) \)? What is \( P_{Y|X}(2|2) \)?
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