Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Data Analysis

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
• ##### Software

TI Connect™
TI Connect™ CE

• ##### Accessories

TI Connectivity Cable

## Modeling Probabilities

#### Activity Overview

Students use simulations and graphs to explore what happens when the number of trials of a binomial experiment becomes a large number.

#### Key Steps

• In Problem 1, students simulate a binomial experiment using the program b>COINFLIP. When the simulation runs, each row in list L1 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 and then use a histogram to determine and record the number of times an outcome occurs. 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.