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Probability Calculators – Discrete Distribution Tables
x402
Probability Calculators – Discrete Distribution Tables is a paid API for AI agents from probability-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Returns exact PMF, cumulative (CDF), and upper-tail probability tables for geometric, negative binomial, hypergeometric, binomial, and Poisson distributions.
Price / call$0.02
Success—
StatusUnknown
How this service works
Exact pmf, cumulative and tail tables for geometric, negative binomial, hypergeometric, binomial and Poisson.
Output
Returns a JSON object containing the distribution's mean, mode, variance, support range, and a table array where each row has k (outcome value), probability (PMF), cumulative (CDF), and upperTail (P(X>=k)). Also includes a summary string, parameter echo, and optional disclaimer or degraded flag.
Example use cases
Quality control defect probability
“I need the full probability table for a binomial distribution with n=50 items inspected and p=0.05 defect rate — show me the PMF, cumulative, and upper-tail for each k, and highlight k=3.”
Call center Poisson arrival modeling
“Can you generate the Poisson distribution table for a mean arrival rate of lambda=12 calls per hour? I want the PMF and cumulative probabilities for every k.”
Hypergeometric sampling from a batch
“We have a population of N=200 parts, K=30 of which are defective, and we're drawing n=15 at random. Give me the full hypergeometric probability table including P(X<=k) and P(X>=k) for each outcome.”
Technical details
Endpoint
GEThttps://probability-calc.x402tookit.com/distribution-table?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need exact, tabulated discrete probability distributions (PMF, CDF, upper-tail) across the full support for one of the five classic distributions (geometric, negative binomial, hypergeometric, binomial, Poisson). It is ideal for statistical reporting, educational explanations, quality control calculations, or any workflow that needs the complete probability table rather than a single point estimate.
Side effects
- Missing required 'dist' parameter returns an error
- Invalid distribution name (not one of the five supported) causes rejection
- Missing distribution-specific required parameters (e.g., p for binomial, lambda for Poisson) returns a validation error
- Out-of-range parameter values (e.g., lambda > 1000, N > 1e6) may return an error or degraded response
- Non-integer values for integer parameters may be rejected
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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