What is Probability Distributions Calculator and Why it Matters?
Binomial, normal, and Poisson distributions model counting experiments, measurement errors, and rare events.
Mathematical Formula and Theory
Binomial PMF: C(n,k)p^k(1−p)^{n−k}. Normal PDF involves the Gaussian kernel. Poisson: e^{−λ}λ^k/k!.
How to Use This Calculator - Step by Step
- Select distribution and parameters.
- Enter evaluation point x.
- Click Calculate.
Solved Example with Full Calculation
Binomial n=10,p=0.5,k=5 → ≈0.2461. Normal(0,1) CDF at 1.96 ≈0.975.