A point (X, Y) is selected at random inside a triangle defined by {(x, y) : 0

A point (X, Y) is selected at random inside a triangle defined by y) : O y S x S 1}. Assume the point is equally likely to fall anywhere in the triangle. Find the joint cdf and joint pdf of X and Y. 1 (b) Find the marginal cdf and marginal pdf of X and Y. (c) Find the probabilities of the following events in terms of the joint cdf: A 1/2, Y 3/4}; B {1/4 < X 3/4, 1/4 < Y 3/4}. (d) Find < X2].