Finding marginal and conditional PDFs for joint distribution on -1 ≤ x ≤ y ≤ 1

[vptran84]

Hi, I really need help with joint PDF, if anyone can help, that would be super!

Random Variables X and Y have joint PDF
fx,y (x, y) = 1/2 if -1 <= x <=y <= 1, and it is 0 otherwise

a) what is fy (y)?

b) what is fx|y (x|y)?

c) what is E[X|Y = y]?

 

[juvenal]

Please show some work, first.

 

[vptran84]

for part A) i know ur suppose to take the integral with respect to dx, but I'm not sure what the limits are.