# Numora Statistics Distribution Computation

> Numora Statistics Distribution Computation is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Computes statistical probability distributions and related metrics given a distribution type and parameters

## Facts

- Endpoint: POST https://numomo.vercel.app/api/statistics/distribution
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-statistics-distribution-computation-cf026fa0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_sn_CSSehf1t0J_OoLB_uP

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-cf026fa0 -d '<json body>'
```

Example prompt: Calculate a normal distribution with mean 0 and standard deviation 1, and give me the PDF value at x=1.96.

## When to prefer this

Choose this endpoint when you need pure server-side statistical distribution computations without relying on client-side math libraries, when you need reproducible and precise distribution values in an agent pipeline, or when you need to compute distributions as part of a larger automated workflow using x402 micropayments. Prefer this over general-purpose code-execution endpoints when you want a lightweight, dedicated math API call with no setup overhead.

## Known failure modes

- Missing required 'type' field returns an error
- Unsupported distribution type name causes failure
- Invalid or out-of-range parameters (e.g. negative standard deviation) may return computation error
- Malformed params object structure causes bad request
- Payment failure via x402 prevents execution

## 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 'success' (boolean), 'result' (an object containing distribution values such as PDF, CDF, mean, variance, and other relevant statistical metrics depending on the distribution type), and 'computation' (a human-readable string describing what was computed).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "type"
 ],
 "properties": {
  "type": {
   "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-cf026fa0/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)