# Activities

• ##### Download

• • ##### Subject Area

• Math: Statistics: Normal Distributions
• Math: Statistics: Probability and Random Variables

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
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Geometric Distributions #### Activity Overview

Students simulate a geometric distribution of rolling a die to determine experimental probabilities and calculate theoretical probabilities.

#### Key Steps

• Problem 1 introduces students to the geometric distribution. They to determine whether several given situations represent a geometric distribution.

In the second problem, students will investigate the probability of the first 5 appearing on the fourth roll. Students will use the Random Integer command to simulate the geometric distribution.

• They will combine their results with other classmates and calculate the experimental probability. Students will use a histogram to help calculate probabilities and form conclusions.

• In Problem 3, students will explore the theoretical probabilities of a geometric distribution using the Geometric Pdf command. They will then derive the formula for calculating the probability of the first 5 appearing on the nth roll. Then students will graph the probabilities as a scatter plot and determine the regression equation. They will algebraically verify that the formula and the regression equation are the same.