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]

Question

student submitted image, transcription available below

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_{X Y} = Cor (X, Y) \cdot [3

points

]

(e) Are

X

and

Y

independent? Please justify. [2 points]

Accepted Answer

Expert Answer to - Question 2: [16 Marks] Suppose that random variables X and Y have the following joint probability di

Answer

Solution for - Question 2: [16 Marks] Suppose that random variables X and Y have the following joint probability di

Answer

This an additional answer to - Question 2: [16 Marks] Suppose that random variables X and Y have the following joint probability di

(Solved): Question 2: [16 Marks] Suppose that random variables X and Y have the following joint probability di ...

View Expert Answer

Expert Answer

Buy This Answer $5

Place Order

We Provide Services Across The Globe