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Mathematics lessons for IB® Diploma Programme

Analysis and Approaches | 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

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.