I have a question about random vectors
A random vector (X, Y ) has a continuous distribution with a density function $$f(x, y) = \begin{cases}c · x &\mbox{for}& 0 ≤ x ≤ 2, \max(0, 1 − x) ≤ y ≤ 2 − x\\[1ex] 0 &&\text{otherwise.}\end{cases}$$ c > 0 is a constant. Find variance of a Y conditioned on X = 1.5, Var(Y |X = 1.5).
Thank you,