1. (2 pts) Find the value of k for which the given function is a probability density function. Leave your answer in fraction. f(x) = 6!: over [0, 4] 2. (3 pts) Consider the density function fix): 4): on the interval [0,1]. Evaluate the following.. (a) The expected value, E(X) . Leave your answer in fraction. (bl The Variance, VariX} . (c) The standard deviation, 00:1}