The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=-2 Y = -1 Y=3 0.00 0.35 0.01 0.05 0.27 0.00 0.01 X=-2 0.19 X=1 0.11 X=4 0.01 0.00 0.00 From the information in the table, calculate each of the following three probabilities. (a) P (Y< 4) = (b) P(X≥ 1, Y> -1) = 0 (c) P (Y= 3) = X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
om variables given their joint distribution
The joint probability distribution of two random variables X, Y is given in the table below.
Y=-3 Y=-2 Y=-1 Y=3
X=-2 0.19 0.00 0.35 0.01
X=1 0.11 0.05 0.27 0.00
X=4
0.01 0.00 0.00 0.01
From the information in the table, calculate each of the following three probabilities.
(a) P(Y<4)-
(b) P(X≥ 1, Y> -1) = 0
(c) P (Y=3)-
Transcribed Image Text:om variables given their joint distribution The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=-2 Y=-1 Y=3 X=-2 0.19 0.00 0.35 0.01 X=1 0.11 0.05 0.27 0.00 X=4 0.01 0.00 0.00 0.01 From the information in the table, calculate each of the following three probabilities. (a) P(Y<4)- (b) P(X≥ 1, Y> -1) = 0 (c) P (Y=3)-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman