Study Notes: Random Variables

Chapter 2. Random Variables Study Notes contains 20 pages covering the following learning objectives:

* Describe and distinguish a probability mass function from a cumulative distribution function, and explain the relationship between these two.

* Understand and apply the concept of a mathematical expectation of a random variable.

* Describe the four common population moments.

* Explain the differences between a probability mass function and a probability density function.

* Characterize the quantile function and quantile-based estimators.

* Explain the effect of a linear transformation of a random variable on the mean, variance, standard deviation, skewness, kurtosis, median, and interquartile range.

After reviewing these notes, you will be able to apply what you learned with practice questions.

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