• 2.2: Random Variables and Distributions

      • 2.2.1: Common Discrete Random Variables

        • Random Variables and Probability Distributions Book

          This section first defines discrete and continuous random variables. Then, it introduces the distributions for discrete random variables. It also talks about the mean and variance calculations.

        • Binomial Distributions Page

          Watch these videos on binomial distributions. The first explains how to compute the mean of a binomial distribution. The next two videos introduce binomial probabilities and show how to graph them. The remaining videos elaborate on binomial distribution in the context of basketball examples.

        • Binomial, Poisson, and Multinomial Distributions Book

          First, we will talk about binomial probabilities, how to compute their cumulatives, and the mean and standard deviation. Then, we will introduce the Poisson probability formula, define multinomial outcomes, and discuss how to compute probabilities by using the multinomial distribution.

      • 2.2.2: Normal Distribution

        • The Standard Normal Distribution Book

          This section talks about the standard normal curve and how to compute certain areas underneath the curve. This section also contains numerous exercises and examples.

        • More on Normal Distributions Book

          First, this section talks about the history of the normal distribution and the central limit theorem and the relation of normal distributions to errors. Then, it discusses how to compute the area under the normal curve. It then moves on to the normal distribution, the area under the standard normal curve, and how to translate from non-standard normal to standard normal. Finally, it addresses how to compute (cumulative) binomial probabilities using normal approximations.

        • Introduction to the Normal Distribution Page

          Watch this video on the normal distribution. It introduces the normal distribution and its density curve and explains how to read the areas underneath the normal curve. It also touches on the central limit behavior.