Probability distributions, expectation and variance

problem

Binomial Conditions

Age

16 to 18

Challenge level

When is an experiment described by the binomial distribution? Why do we need both the condition about independence and the one about constant probability?
problem

A Well-Stirred Sample

Age

16 to 18

Challenge level

Typical survey sample sizes are about 1000 people. Why is this?
problem

Exponential Intersection

Age

16 to 18

Challenge level

Can the pdfs and cdfs of an exponential distribution intersect?
article
What Is a Random Variable, Really?

This article offers an advanced perspective on random variables for the interested reader.
article
Understanding Hypotheses

This article explores the process of making and testing hypotheses.
list
Statistics - Maths of Real Life

Age

14 to 18

Challenge level

This pilot collection of resources is designed to introduce key statistical ideas and help students to deepen their understanding.