MODULUS / REFERENCE
Probability distributions
Core formulas for Bernoulli, binomial and Poisson distributions.
| Distribution | Value or formula | Description |
|---|---|---|
| Bernoulli | E[X]=p | One trial with two outcomes. |
| Binomial | P(X=k)=Cₙᵏpᵏ(1−p)ⁿ⁻ᵏ | Success count in n trials. |
| Binomial | E[X]=np; Var[X]=np(1−p) | Mean and variance. |
| Poisson | P(X=k)=e⁻λλᵏ/k! | Count of rare events. |
| Poisson | E[X]=Var[X]=λ | Mean and variance. |
Values are provided for reference. Check the required unit system and conditions before engineering or laboratory use.