RiskBernoulli

Description

RiskBernoulli(p) specifies a Bernoulli distribution with parameter p. This is used to model an event that either occurs with probability p(value 1) or doesn’t occur with probability 1-p (value 0).

Examples

RiskBernoulli(0<.1) returns a Bernoulli distribution with parameter 0.1. This has a 10% chance of returning 1 and a 90% chance of returning 0.

RiskBernoulli(C12) returns a Bernoulli distribution with parameter p taken from cell C12.

Guidelines

p continuous parameter 0 < p < 1

Domain

discrete

Density and Cumulative Distribution Functions

     for x = 0

             for x =1

             otherwise

            for x < 0

     for 0 ≥ x < 1

            for x ≥ 1

Mean

p

Variance

Skewness

Kurtosis

Mode

0                           if p < .5

1                           if p > .5

Bimodal (0,1)      if p = .5

Examples