Let A be the largest digit in your ID. Find the number c such that the function f(x) = cx is the probability mass function of some discrete random variable X = {0, 1, 2, A}. For this random variable X, answer the following questions:
a. Describe the probability distribution of X.
b. Let F(x) be the cumulative distribution function of X. Find a formula for F(x), where x is any real number.
c. Graph the function y = F(x) .