### There are 20 results

Broad Topics >

Advanced Probability and Statistics > Probability distributions, expectation and variance

##### Age 16 to 18 Challenge Level:

What is a random pattern?

##### Age 16 to 18 Challenge Level:

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

##### 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?

##### 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?

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Are these scenarios described by the binomial distribution?

##### Age 16 to 18 Challenge Level:

Can you create random variables satisfying certain conditions?

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18

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

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

When five dice are rolled together which do you expect to see more
often, no sixes or all sixes ?

##### Age 14 to 18 Challenge Level:

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

##### Age 16 to 18 Challenge Level:

This tool allows you to create custom-specified random numbers,
such as the total on three dice.

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 14 to 18

This article explores the process of making and testing hypotheses.

##### Age 16 to 18 Challenge Level:

Can you build a distribution with the maximum theoretical spread?

##### 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.

##### Age 16 to 18 Challenge Level:

Can the pdfs and cdfs of an exponential distribution intersect?