amswer all questions with explanation

22. Let X ~ Uniform (0, 1). Let 0

22. Let X Uniform(O, 1). and let Let 0 < a < b < 1. Let 0 otherwise 0 otherwise (a) Are Y and Z independent? Why/ Why not? (b) Find E(YIZ). Hint: What values z can Z take? Now find E(YIZ z).