Given a marginal p.m.f of x: f₁(x) = and a marginal p.m.f of y: f₂(y) = 2 X & Y are stochastically independent r.v.³ then the J.p.m.f of x and y is " f(x, y) = › = {1/ f(x,y)= f(x, y) = 0 > . for x = 2,8 O.W , for y = 1,3 O.W for x = 2,8 y = 1,3 O.W Option 3 for x = 2,8 y = 1,3 O.W Option 2 O for x = 2,8 y = 1,3 O.W
Given a marginal p.m.f of x: f₁(x) = and a marginal p.m.f of y: f₂(y) = 2 X & Y are stochastically independent r.v.³ then the J.p.m.f of x and y is " f(x, y) = › = {1/ f(x,y)= f(x, y) = 0 > . for x = 2,8 O.W , for y = 1,3 O.W for x = 2,8 y = 1,3 O.W Option 3 for x = 2,8 y = 1,3 O.W Option 2 O for x = 2,8 y = 1,3 O.W
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Given a marginal p.m.f of x: f₁(x) =
0
1
and a marginal p.m.f of y: f₂(y) = 2
X & Y are stochastically independent r.v.³
then the J.p.m.f of x and y is
»= {1
f(x, y) =
f(x, y) =
f(x,y)=4
0
, for x = 2,8
O.W
, for y = 1,3
O.W
for x = 2,8
y = 1,3
O.W
Option 3
for x= 2,8
y = 1,3
O.W
Option 2
for x = 2,8
y = 1,3
O.W
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