Parameter(s) (of a theoretical distribution)

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

A number (or numbers) occurring in the expression for a probability function or probability density function representing a theoretical distribution which, when changed, produce different members of the family of distributions. A given value for a parameter (or set of values for the parameters) determines a unique member of the family of distributions.

Example

The parameters of the binomial distribution are n and π.

The graphs of the probability functions of two binomial distributions are shown below, one with

n = 4 and π = 0.3 and the other with n = 4 and π = 0.6.

Curriculum achievement objectives references

Probability: Levels (7), (8)