Lesson Plan: Discrete Random Variables Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify discrete random variables and use probability distribution functions and tables for them.

Objectives

Students will be able to

  • understand what a discrete random variable is and how it can be represented in a table or as a function,
  • know the contexts in which a variable is discrete,
  • find unknown values given the table or function of a discrete random variable,
  • determine if a function or table for a discrete random variable is valid or not,
  • find a probability table or function given a context,
  • calculate probabilities given a function.

Prerequisites

Students should already be familiar with

  • probability distribution tables,
  • functions and the notation 𝑓(𝑥),
  • rules of probability, such as all probabilities add up to 1,
  • solving algebraic equations, including ones with fractions and exponents.

Exclusions

Students will not cover

  • continuous random variables,
  • probability functions for the binomial or Poisson distribution,
  • cumulative distribution functions,
  • expected value, variance, and standard deviation of discrete random variables.

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