1. LetX have a pdf given by f(x)={ 6l/x2 x26 0 otherwise (a) (2 points) Show that this is a valid pdf. (b) (3 points) Find the CDF of X. (c) (2 points) Find the 30th percentile of the distribution. (d) (3 points) Find the general form for P(X > 6 + b), Where b is a positive constant. (e) (3 points) If c and d are both positive constants such that d > 6, find P(X>6+d|X>6+c). (f) (3 points) Find the expected value of X 1/ 2