Probability distributions, expectation and variance

problem
A well-stirred sample

Age

16 to 18

Challenge level

Typical survey sample sizes are about 1000 people. Why is this?
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.
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
Binomial or not?

Age

16 to 18

Challenge level

Are these scenarios described by the binomial distribution?
problem
Can you find ... random variable edition

Age

16 to 18

Challenge level

Can you create random variables satisfying certain conditions?
article
What is a random variable, really?

This article offers an advanced perspective on random variables for the interested reader.
problem
Into the exponential distribution

Age

16 to 18

Challenge level

Get into the exponential distribution through an exploration of its pdf.
problem
What's your mean?

Age

16 to 18

Challenge level

Can you work out the means of these distributions using numerical methods?
problem
Aim high

Age

16 to 18

Challenge level

How do you choose your planting levels to minimise the total loss at harvest time?
problem
Time to evolve 2

Age

16 to 18

Challenge level

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?