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Maths Extension 1 · Year 12 · NESA ME1-12-06

The binomial distribution and sampling distribution of the mean

NESA focus area ME1-12-06, 20 lessons.

Syllabus note: this focus area follows the new 2024 NESA syllabus (first HSC 2027). Students sitting the HSC in 2026 study the 2017 syllabus.

20lessons

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Lessons

Probability Review for Statistics

The Bernoulli Random Variable

Bernoulli Trials

The Binomial Random Variable

Binomial Probability Formula

Calculating Binomial Probabilities

Cumulative Binomial Probabilities

Mean of the Binomial Distribution

Variance and Standard Deviation

Expected Frequencies

Properties of Binomial Distributions

The Mode of a Binomial Distribution

Binomial Problems, Single Step

Binomial Problems, Multi-Step

Binomial Problems, Contextual

Using Technology for Binomial Calculations

Normal Approximation to Binomial

Assumptions and Limitations

Mixed Statistical Problems

Populations and Samples

The Sample Mean

The Sampling Distribution of the Mean

The Central Limit Theorem

Probabilities for the Sample Mean

Module 10 Synthesis & Exam Technique