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. Let X and Y be discrete random variables with Sx = {0, 1, 2} and Sy = {0, 1, 2, 3}. Define the oint probability mass function (x, y, ) = P(X = x.Y = y) as follows: { x+y 30 x = 0, 1, 2 and y = 0, 1, 2, 3 F(x, y) : otherwise a. Find the marginal distribution of X. That is to say find fx(x) = P(X = x) for x=0,1,2. %3| b. Find the marginal distribution of Y. That is to say find fy(Y) = P(Y = Y) for y=0,1,2,3. c. Are X and Y independent random variables? (hint: check if f(x, y) = fx(x)fy (y))

. Let X and Y be discrete random variables with Sx = {0, 1, 2} and Sy = {0, 1, 2, 3}. Define the oint probability mass function (x, y, ) = P(X = x.Y = y) as follows: { x+y 30 x = 0, 1, 2 and y = 0, 1, 2, 3 F(x, y) : otherwise a. Find the marginal distribution of X. That is to say find fx(x) = P(X = x) for x=0,1,2. %3| b. Find the marginal distribution of Y. That is to say find fy(Y) = P(Y = Y) for y=0,1,2,3. c. Are X and Y independent random variables? (hint: check if f(x, y) = fx(x)fy (y))

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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5. Let X and Y be discrete random variables with Sx {0, 1, 2} and Sy = {0,1, 2, 3}. Define the joint probability mass function (x, y,) = P(X = x.Y = y) as follows: x+y 30 x = 0, 1,2 and y = 0, 1, 2, 3 f(x, y) = otherwise a. Find the marginal distribution of X. That is to say find fx(x) = P(X = x) for x=0,1,2. b. Find the marginal distribution of Y. That is to say find fy (Y) = P(Y = Y) for y=0,1,2,3. c. Are X and Y independent random variables? (hint: check if f (x, y) = fx(x)fy (y))
Transcribed Image Text:5. Let X and Y be discrete random variables with Sx {0, 1, 2} and Sy = {0,1, 2, 3}. Define the joint probability mass function (x, y,) = P(X = x.Y = y) as follows: x+y 30 x = 0, 1,2 and y = 0, 1, 2, 3 f(x, y) = otherwise a. Find the marginal distribution of X. That is to say find fx(x) = P(X = x) for x=0,1,2. b. Find the marginal distribution of Y. That is to say find fy (Y) = P(Y = Y) for y=0,1,2,3. c. Are X and Y independent random variables? (hint: check if f (x, y) = fx(x)fy (y))
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