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Uniform P(X=x)
1/n
Uniform E[X]
(n+1) / 2
Uniform Var[X]
(n²-1) / 2
Bernoulli P(X=x)
p
Bernoulli E[X]
p
Bernoulli Var[X]
pq
Binomial P(X=x)
(n choose x) * p^x * q^(n-x)
Binomial E[X]
np
Binomial Var[X]
npq
Geometric 0 P(X=x)
pqˣ
Geometric 0 E[X]
q/p
Geometric 0 Var[X]
q/p²
Geometric 1 P(X=x)
pq^(x-1)
Geometric 1 E[X]
1/p
Geometric 1 Var[X]
q/p²
Negative Binomial P(X=x)
(n+r-1) choose (r-1) pʳ * qⁿ
Negative Binomial E[X]
rq/p
Negative Binomial Var[X]
rq/p²
Poisson P(X=x)
e^(-λ) * λˣ / x!
Poisson E[X]
λ
Poisson Var[X]
λ