There are **16** NRICH Mathematical resources connected to **Probability distributions, expectation and variance**, you may find related items under Advanced Probability and Statistics.

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

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

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

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Get into the exponential distribution through an exploration of its pdf.

Can you build a distribution with the maximum theoretical spread?

How do scores on dice and factors of polynomials relate to each other?

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

Are these scenarios described by the binomial distribution?

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

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

Can you create random variables satisfying certain conditions?

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

Can the pdfs and cdfs of an exponential distribution intersect?

This article explores the process of making and testing hypotheses.

Use your skill and judgement to match the sets of random data.