# Activities

• • • ##### Subject Area

• Math: Statistics: Probability and Random Variables

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Binomial Pdf- Eye Color

#### Activity Overview

This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns

#### Objectives

• Students will identify a situation involving binomial trials.
• Students will observe that a binomial distribution is a function of both sample size and the probability of a success.
• Students will interpret a table of binomial probabilities.
• Student will answer probability questions using the graph of a binomial model for a random variable involving binomial trials.

#### Vocabulary

• binomial distribution
• expected value
• probability

#### About the Lesson

This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns
As a result, students will:

• For a binomial distribution with a given sample size and probability of success
• find the probability of specific outcomes from a spreadsheet of values.
• find the probability of specific outcomes from the graph.
• Find the probability of mutually exclusive events from a graph or spreadsheet.
• Change the sample size and the probability of a success and find the probability of specific outcomes.
• Analyze how the probabilities change as the sample size increases and as the probability of a success increases.