Two random variables, X and Y have ranges Rx {1, 2} and Ry = {1, 2, 3}. X and Y have joint probability mass function given by the following table: Y 1 2 3 X 1 0.12 0.13 0.32 2 0.27 0.05 0.11 (i) Find the marginal probability mass functions fx and fy. (ii) Check whether X and Y are independent. (iii) Find the range and the probability mass function of the random variable X/Y (iv) Calculate the variance of X/Y
Two random variables, X and Y have ranges Rx {1, 2} and Ry = {1, 2, 3}. X and Y have joint probability mass function given by the following table: Y 1 2 3 X 1 0.12 0.13 0.32 2 0.27 0.05 0.11 (i) Find the marginal probability mass functions fx and fy. (ii) Check whether X and Y are independent. (iii) Find the range and the probability mass function of the random variable X/Y (iv) Calculate the variance of X/Y
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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![Two random variables, X and Y have ranges Rx = {1,2} and Ry = {1,2,3}.
X and Y have joint probability mass function given by the following table:
Y
1 2 3
1
0.12 0.13
0.32
2
0.27 0.05
0.11
(i) Find the marginal probability mass functions fx and fy.
(ii) Check whether X and Y are independent.
(iii) Find the range and the probability mass function of the random variable X/Y
(iv) Calculate the variance of X/Y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef34be37-e3da-435a-86e6-a62233f58abd%2F7351676d-78e0-4905-8f3d-75b4429d3001%2Fkal8xr_processed.png&w=3840&q=75)
Transcribed Image Text:Two random variables, X and Y have ranges Rx = {1,2} and Ry = {1,2,3}.
X and Y have joint probability mass function given by the following table:
Y
1 2 3
1
0.12 0.13
0.32
2
0.27 0.05
0.11
(i) Find the marginal probability mass functions fx and fy.
(ii) Check whether X and Y are independent.
(iii) Find the range and the probability mass function of the random variable X/Y
(iv) Calculate the variance of X/Y
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