4. Modeling Assumptions in Regression

Question

Review: Joint, Conditional, and Marginal Distributions

Let (X,Y) be a pair of random variables with joint density h(x,y)=x+y over the space [0,1]**2.

-What is the marginal density of X ? We denote this by writing h(x).
h(x)=


-What is the conditional density of Y given X=x? We denote this by writing .
h(x|y)=

Answer 1

1. x+1/2
2. (x+y)/(x+1/2)