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Lesson Packs · Grade 12 · Mathematics

Discrete Random Variables and the Binomial Distribution

Students build probability distribution tables, calculate the expected value and variance of a discrete random variable, recognise binomial situations, and use the binomial formula, its mean and variance, and cumulative probabilities to solve problems.

Unit 7 · Lesson 22 · Probability and Statistics

Preview

Discrete Random Variables and the Binomial Distribution — Slide 1
  • Discrete Random Variables and the Binomial Distribution — Slide 4
    Slide 4
  • Discrete Random Variables and the Binomial Distribution — Slide 7
    Slide 7
  • Discrete Random Variables and the Binomial Distribution — Slide 17
    Slide 17
  • Discrete Random Variables and the Binomial Distribution — Slide 18
    Slide 18
  • Discrete Random Variables and the Binomial Distribution — Worksheet, page 1
    Worksheet, page 1
  • Discrete Random Variables and the Binomial Distribution — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Construct a probability distribution table and calculate E(X) and Var(X) for a discrete random variable.
  • Recognise binomial situations and calculate P(X = k) when X~B(n, p).
  • Use the mean np, the variance np(1 − p) and cumulative probabilities to solve problems.

What's inside

  • 38 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (31 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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