# Numora Statistical Distribution Computation

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

Computes statistical distribution parameters and properties (PDF, CDF, mean, variance, etc.) for normal, binomial, Poisson, or uniform distributions

## Facts

- Endpoint: POST https://numormo.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-statistical-distribution-computation-97f3774c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_nSFk3bOw3yQZJAZkKVLQ-

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-statistical-distribution-computation-97f3774c -d '<json body>'
```

Example prompt: Calculate the normal distribution properties with mean 0 and standard deviation 1 — I need the PDF, CDF, mean, and variance.

## When to prefer this

Choose this endpoint when you need pure server-side statistical distribution computation with no external dependencies — ideal for AI agents that need fast, reliable math without calling a data provider or running code locally. Prefer this over general-purpose code execution when you want a structured JSON result with named distribution properties. Best suited for well-known parametric distributions (normal, binomial, Poisson, uniform).

## Known failure modes

- Missing required 'type' field returns validation error
- Invalid distribution type (not one of normal/binomial/poisson/uniform) returns error
- Missing required params for a given distribution type (e.g. lambda for Poisson) may return error or default behavior
- Malformed params object returns parse error
- Payment failure via x402 returns 402 Payment Required

## 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: true, a result object containing computed distribution properties (such as PDF/PMF values, CDF, mean, variance, standard deviation, and other distribution-specific statistics), and a human-readable computation string describing what was calculated.

## 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-statistical-distribution-computation-97f3774c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)