Answered: Suppose that X and Y are random…

Suppose that X and Y are random variables with joint probability mass function 1-1 y-1 22 Px.y(r, v) = () G) () 36 for z, y € Z+, 1

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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Question

2.
Suppose that X and Y are random variables with joint probability mass function
I-1
y-1
22
Px.y(r, y) =
36
3.
for a, y € Z+, 1 <I< y, otherwise 0
(a)
Verify that this is a valid Joint PMF. (Probabilities add up to 1).
(b)
Are X and Y independent? Give an intuitive argument
Find PMF of X and using that find E[X].
Find P(Y 25| X = 3)
Find P(Y > 5| x > 3)
(c)
(d)
(e)

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