Can someone please write out detailed answers for the ff questions:

Exercise 3: Random Variables Two fair dice are tossed. Let the random variable (r.v.) X be the number of dots on the rst dice and the r.v. Y the number of dots on the second one. Let Z : max(X,Y). 1. Obtain the support and probability mass function [pmfj of Z. 2. Give the expectation and variance of Z. 3. Obtain the probability that Z is smaller than 3