Answer the question, and provide steps.(Do not copy other answers, thank you)

Let (2, F, P) be a probability space, and X, Y : 0 - R be random variables (rvs). (a) Show that w M(w) := max{ X(w), Y(w)} is a random variable. (5 marks) (b) Show that w Ww) := min{ X(w), Y(w)} is a random variable. (5 marks) (c) Show that w Z(w) := X' is a random variable. (10 marks)