Now consider a probability distribution on a b where a 0 de

Now consider a probability distribution on [a, b] (where a > 0) defined by Find the value of C. Find the CDF, F(x). Calculate the mean of this distribution, E(X). Show that Var(X) = E(X)). Find the median value of X. Now suppose 4a = b. Find exact values for P(2a 2a). Still considering b = 4a, sketch f(x) and mark the median and the relative position of the mean.