1. Consider the following function: F(x)=1+- for R. (a) (2 pts) Show that F is a cumulative distribution function (cdf). (b) (1 pt) Let X be a continuous r.v. with the cdf F(x) as given above. Determine the median of X. (e) (3 pts) Define Y-2X+1 where X has the edf F(a). Show that Y is a continuous random variable, and then determine its probability density function (pdf)