Education Technology

### Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Statistics and Probability

## Statistics: Binomial Pdf- Eye Color

### 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

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.