# Numora Statistics Distribution Computation

> Numora Statistics Distribution Computation is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.03/call, status unknown (last checked 2026-09-14).

Computes statistical probability distribution calculations (e.g. PDF, CDF, mean, variance) for a specified distribution type and parameters

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/statistics/distribution
- Price: $0.03/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-statistics-distribution-computation-a0761deb
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Rhi2kh93tNoAv11lmT8j1

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-statistics-distribution-computation-a0761deb -d '<json body>'
```

Example prompt: Calculate the cumulative distribution function (CDF) for a normal distribution with mean 0 and standard deviation 1 at x = 1.96 — I need the probability value.

## When to prefer this

Choose this endpoint when you need precise, server-side statistical distribution computations without relying on client-side math libraries or external dependencies. Ideal for AI agents that need exact probability values, moments, or distribution evaluations on demand with micropayment billing per call.

## Known failure modes

- Unsupported or misspelled distribution type returns error
- Missing required 'type' field returns 400-class error
- Invalid or out-of-range parameters for the specified distribution (e.g. negative variance) return computation error
- Payment not provided or insufficient USDC results in 402 Payment Required
- Malformed JSON body causes parse error

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean 'success' field, a 'result' object containing the computed statistical values (varies by distribution type and requested computation), and a 'computation' string describing what was computed in human-readable form.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "type"
 ],
 "properties": {
  "type": {
   "enum": [
    "normal",
    "binomial",
    "poisson",
    "uniform"
   ],
   "type": "string"
  },
  "params": {
   "type": "object"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-statistics-distribution-computation-a0761deb/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)