Bernoulli distribution

Bernoulli(P)

Creates a discrete probability distribution with probability «P» of 1 (True) and probability (1 - P) of 0 (False). «P» is a probability value or array of probabilities, between 0 and 1. The result is the equivalent to:

If Uniform(0, 1) < P Then 1 Else 0

Or even just:

Uniform(0, 1) < P

If «P» is greater than 1, the distribution is made up of all 1’s. If «P» is less than 0, the distribution is made up of all 0’s.

To generate an Array of Bernoulli values that are independent over index I, use the optional «Over» parameter:

Bernoulli(P, Over: I)

You can extend this to an Array with multiple dimensions, as:

Bernoulli(P, Over: I, J, K)

Library

Distributions

See Also

• Uniform
• Parametric_discrete_distributions
• Distribution Densities Library