5. Let X _ U (0, 50), and let [X] be the integer part of X. This is commonly referred to as the floor function. (a) Use Theorem 2.9 to compute Var (LX]). (b) Derive the pmf for [X] and use the pmf to compute Var (LX]). (c) Use Theorem 2.8 to compute E (min (X - [X] , }))