Calculate PMF/PDF, CDF, mean and variance for common discrete and continuous distributions.
This multi-distribution calculator evaluates PMF (for discrete) or PDF (for continuous), along with the CDF, mean and variance. Select a distribution and provide its parameters to evaluate at any point x.
Binomial PMF
P(X=k) = C(n,k) × p^k × (1−p)^(n−k)
Normal PDF
f(x) = (1/(σ√(2π))) × exp(−(x−μ)²/(2σ²))
PMF (probability mass function) is for discrete distributions — it gives the exact probability of a specific value. PDF (probability density function) is for continuous distributions — it gives density, not probability, at a point.
The cumulative distribution function CDF(x) = P(X ≤ x), the probability of observing a value at most x.