please solve these problem:

Lesson 9 Joint Distributions 1. Suppose that we have a pair of random variables X and Y with joint distribution (a) If we have M = maX(X, Y), the larger of the two observations, then calculate lP'{M = 4}. (b) Are X and Y are independent? Explain your reasoning. 2. Suppose that X and Y are independent random variables from binomial experiments where n = 4 in both cases but the probability of success is p = 0.25 for X and p = 0.5 for Y. Calculate the probability of the events (a) {X = 1,Y = 2}, (b) {X + Y = 1}