Question

A two-dimensional random variable (X,Y) have a bivariate distribution given by:



P(X=x,Y=y)=x2+y32, for x=0,1,2,3 and y=0,1.

Find (i) the marginal distributions of X and Y, and (ii) the conditional distribution of Y for X=x. ​

Answer 1

Answer:

A two-dimensional random variable (X, Y) has a bivariate distribution given by P(X = x,Y=y) for x=0,1,2,3 & y = 0,1. Find the marginal distributions of X and Y. Also, check the independence of X & Y.