Final answer:
A discrete random variable is a random variable that takes countable numbers of values, and it is represented using the Probability Mass Function (PMF). The PMF gives the probability of each value of the random variable.
Step-by-step explanation:
A discrete random variable is a random variable that takes countable numbers of values. Examples of discrete random variables include age, gender, and the number of times an event happens. To represent the probability distribution of a discrete random variable, we use the Probability Mass Function (PMF). The PMF gives the probability of each value of the random variable. It has two characteristics: each probability is between zero and one, and the sum of the probabilities is one.