Chapter 3: Distributions of Random Variables

This set of labs illustrates the use of R functions for probability distributions as an alternative to traditional distribution tables. The labs build on the programming structures introduced in the Chapter 2 labs and demonstrate how to simulate the data-generating process described by particular distributions.
Lab Notes

1. Introduction to Random Variables

Introduces the general notion of a random variable and its distribution using a simulation, then discusses the binomial distribution.

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2. Distributions: Normal and Poisson

Discusses the normal distribution and working with normal probabilities, as well as the Poisson distribution.

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3. Distributions Related to Bernoulli Trials

Covers the geometric, negative binomial, and hypergeometric distributions. The simulations in this lab introduce repeat and while loops.

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4. Distributions for Pairs of Random Variables

Discusses distributions for pairs of random variables, in addition to the correlation of random variables.

Handout Template Solutions

R (Base), Useful Links

The statistical software R is a widely used and stable software that is free. RStudio is a user-friendly interface for R.