2.8.A—Construct a probability distribution for a discrete random variable

Construct a probability distribution for a discrete random variable.

• A random variable is a variable whose values have numerical outcomes that result from a random phenomenon.
• A probability distribution for a discrete random variable shows the probability associated with every possible value of the random variable. The sum of the probabilities over all possible values of a discrete random variable is 1.
• A discrete probability distribution can be determined using the rules of probability or estimated with a simulation.
• A discrete probability distribution can be represented as a graph, table, or function showing the probabilities associated with values of a random variable.
• A cumulative probability distribution can be represented as a table or function and shows the probability of being less than or equal to each value of the discrete random variable.