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

Problem
Primary curriculum
Secondary curriculum
### Aim High

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### What's Your Mean?

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Time to Evolve 2

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Stats Statements

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Into the Exponential Distribution

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

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Random Inequalities

Can you build a distribution with the maximum theoretical spread?

Age 16 to 18

Challenge Level

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Primary curriculum
Secondary curriculum
### Spinners

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Well-stirred Sample

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Binomial or Not?

Are these scenarios described by the binomial distribution?

Age 16 to 18

Challenge Level

Article
Live Primary curriculum
Secondary curriculum
### What Is a Random Variable, Really?

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

Age 16 to 18

Problem
Primary curriculum
Secondary curriculum
### Binomial Conditions

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

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Can You Find ... Random Variable Edition

Can you create random variables satisfying certain conditions?

Age 16 to 18

Challenge Level

List
Primary curriculum
Secondary curriculum
### Statistics - Maths of Real Life

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

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Exponential Intersection

Can the pdfs and cdfs of an exponential distribution intersect?

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Understanding Hypotheses

This article explores the process of making and testing hypotheses.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### Data Matching

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

Age 14 to 18

Challenge Level