Rules of Probability and Random Variables

Describe the difference between mutually exclusive (or disjoint) and independent variables.
Define the basic rules of probability including the complement rule, addition rule, multiplication rule, and rule of conditional probability.
State the law of total probability and Bayes’ theorem.
Define a random variable and describe the difference between the two types: discrete and continuous. Give an example of each variable.
Explain the distribution of a random variable and its importance in computing probabilities.
State two conditions that must always apply to the probabilities for a discrete random variable.