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Geometric distribution (probability of failures before the first success)

Description

The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... } is giving by a form of geometric distribution which is used for modeling number of failures until the first success.

Related formulas

Variables

PrYThe geometric distribution of the number of failures before the first success (dimensionless)
pThe probability of success on each trial (dimensionless)
kThe number of independent trials (k = 0, 1, 2, 3, ....) (dimensionless)