Home /
Expert Answers /
Statistics and Probability /
question-2-16-marks-suppose-that-random-variables-x-and-y-have-the-following-joint-probability-di-pa421

Question 2: [16 Marks] Suppose that random variables X and Y have the following joint probability distribution, f(x,y) where i = 0, 1, 2. Answer the following questions with justifications, wherever necessary. 1 2 1/8 1/8 0 1/8 2/8 1/8 0 1/8 1/8 0 1 2 (a) Find the marginal probabilities of X and Y. [4 points] (b) Compute the expected values E(X) and E(Y). [4 points] (c) Compute the covariance Cov(X,Y) [3 points] (d) Compute the correlation pxy Cor(X,Y). [3 points] = (e) Are X and Y independent? Please justify. [2 points]

Quntion 2: [16 Marks] Supposo that mandom variables $X$ and $Y$ have the following joint probability distribution. $f(x_{i},y)$ where $i=0,1,2$. Answer the following questions with iustifications, wherevecincesturd. (a) Find the marginal probabilities of $X$ and $Y$. [4 points] (b) Compute the expected values $E(X)$ and $E(Y)$. [4 poiats] (c) Compute the covariance $Cov(X,Y)[3$ points] (d) Compute the correlation $ρ_{XY}=Cor(X,Y)⋅[3$ points $]$ (e) Are $X$ and $Y$ independent? Please justify. [2 points]

Live Sessions

Online Lab Report Help

Online Project Report Help

Online Assignment Help

Essay Writing Help

CPM Homework Help

Mortgage Calculator

Electrical Engineering

Civil Engineering

Chemical Engineering

Electronics and Communication Engineering

Mathematics

Physics

Chemistry

Software Works/ Computer Science

Other Subjects

100% Correct Solutions

24/7 Availability

One stop destination for all subject

Cost Effective

Solved on Time

Plagiarism Free Solutions

Confidentiality