# Activities

• • • ##### Subject Area

• Math: Algebra II: Data Analysis

• ##### Author 9-12

60 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Report an Issue

Modeling Probabilities #### Activity Overview

This activity approaches probability distributions as functions taking information about a dataset as inputs and outputting a set of probabilities. This is analogous to the familiar process of choosing a function to model a set of x-y pairs. Students use simulations to explore increasing number of trials. The normal distribution is introduced, compared with the binomial distribution, and applied.

#### Key Steps

• In Problem 1, students simulate a binomial experiment using the custom function coinflip. When the simulation runs, each row of the table displays the number of heads that occurred for a trial. Students repeat the process using different numbers of trials to determine the shape of the histogram.

• In Problem 2, students explore probability distributions. They simulate 10 flips, for 50 trials in Column A. Then they use a histogram to determine and record the number of times an outcome occurs in the experiment in Column C. Lastly, students will use a formula to calculate the experimental probabilities.

• Students will compare the experimental probabilities with the probabilities calculated with the binomPdf and normPdf commands to determine which distribution best models each situation.