The document outlines basic exercises related to probability distribution functions, including tasks such as graphing the probability distribution and cumulative probability distribution. It also requires calculating the mean and variance of a random variable x. These exercises are aimed at enhancing understanding of probability concepts.

1. Basic Exercises 4.15 Consider the probability distribution function. a. Graph the probability
distribution function. b. Calculate and graph the cumulative probability distribution. c. Find the
mean of the random variable X . d. Find the variance of X .