Question 1 Let X1, X2 be a random vector with the joint PDF f(x1,x2) = { 2 0 < x1 < x2 < 1 0 otherwise a) Draw the region where f(x1, x2) > 0 b) Find the pdf of the marginal distribution of X1. c) Find the conditional distribution of X2 given X = a for some a (0, 1) by deriving its conditional pdf. d) Find the joint density function of (- log(X1), - log(X2)).