Lesson Plan: Continuous Random Variables Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to describe the probability density function of a continuous random variable and use it to find the probability for some event.

Objectives

Students will be able to

  • understand the probability density function of a continuous random variable,
  • use the probability density function of a continuous random variable to find the probability of some event
    • using integration,
    • graphically.

Prerequisites

Students should already be familiar with

  • continuous random variables,
  • piecewise defined functions,
  • integration.

Exclusions

Students will not cover

  • discrete random variables,
  • probability function of continuous random variables that follow specific distribution:
    • normal distribution,
    • Student’s 𝑡-distribution,
    • exponential distributions.

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