1. The problem statement, all variables and given/known data 1. For a random variable X, the function F defined by F(x) = P(X <= x),−inf < x < inf is called the cumulative distribution function of X. A property of every distribution function F is that it is right continuous with left limits. For the following functions, determine if they are right continuous and/or have left limits at the indicated values. (A “yes” or “no” answer is insufficient. Justify your answers or no credit will be given.) (a) at x = 0 and x = 1 for G(x) = |x|/x . (b) at x = 0 and x = 1 for H(x) = arctan(x). 2. Relevant equations (a) at x = 0 and x = 1 for G(x) = |x|/x . (b) at x = 0 and x = 1 for H(x) = arctan(x). 3. The attempt at a solution Well, if we look at 'a', I was trying to find the limit when x->0+ and limit when x->0-. I am getting -1 and 1 but the function is not defined at x=0. and it's not right continuous nor left continuous, and it has right and left limits, correct? OR I don't get the question. Can somebody tell me what I need to do here or lead me to the correct way ?? Thanks in advance, Roni.