Problem 6 A continuous random variable X has a Pareto distribu- tion if its probability density function has the form otherwise where a and A are parameters (positive real numbers). The Pareto distribution is often used to model the distribution of incomes in a society. Suppose X is a random variable that has a Pareto distribution with parameter a = 1 and A = 1.2. a. Sketch the graph of the probability density function f(x) for 1. b. Find the probability P(10 = X's 20). c. Read an article on the Pareto distribution, and write a paragraph on how it can be used