Parameter(s) (of a theoretical distribution)

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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)