This document provides instructions to solve 6 problems related to a random variable X that follows a distribution with a density function f(x). It asks the reader to: 1) Find the value of k to make f(x) a probability density function. 2) Find the probability of an event. 3) Find the median of the distribution. 4) Find the expected value of X. 5) Find the variance of X. 6) Find the moment generating function of X.