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Lesson Plan: Binomial Distribution Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify binomial experiments and solve probability problems of binomial random variables.
Objectives
Students will be able to
- explain why a random variable is binomial or not from a given context,
- identify the parameters of a binomial random variable given a context,
- calculate probabilities of events for a binomial random variable using its probability distribution function,
- calculate probabilities using the cumulative distribution of a binomial random variable by using either a binomial distribution table or a calculator,
- calculate probabilities using the cumulative distribution of a binomial random variable involving the complement rule and/or the difference rule,
- find the largest or smallest value of a binomial random variable such that the probability that variable is less than or greater than the value is smaller than a given value,
- solve real-world problems involving binomial probability distributions.
Prerequisites
Students should already be familiar with
- probability rules,
- mutually exclusive and independent events,
- binomial coefficients,
- discrete random variables,
- probability distribution represented by a table, probability mass function, or diagram.
Exclusions
Students will not cover
- mean and standard deviation for binomial distributions,
- problems dealing with other probability distributions.
