Hi guys, I am stuck with this problem... Please help! Define the rounding function [.] to integers as follows: [x] = j if x ∈ (j-0.5, j+0.5, for j = 0,+-1, +-2,... Suppose X has a uniform distribution on the interval (a,b). i.e., X~U(a,b) a<b. 1. find a pair a and b such hat Var(X) > Var([X]) and such that VAR(X) < VAR([X]) 2. Suppose that a random variable X has a continuous CDF F(x). What are the distributions of F(X) and [F(X)]? and finally R = [F(X)]-F(X)?