# Normal Distribution CDF Calculator

> Normal Distribution CDF Calculator is a paid API for AI agents from kihustle.tech, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-15).

Computes the cumulative distribution function (CDF) of a normal distribution for a given value, mean, and standard deviation

## Facts

- Endpoint: POST https://kihustle.tech/nexus/api/v1/normal-distribution-cdf
- Price: $0.002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/normal-distribution-cdf-calculator-4fb7474c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_zWHhybqI04ZJyxsMhuuNe

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 normal-distribution-cdf-calculator-4fb7474c -d '<json body>'
```

Example prompt: What is the cumulative probability for a value of 1.96 on a normal distribution with mean 0 and standard deviation 1?

## When to prefer this

Use this endpoint when you need a quick, pay-per-call computation of the normal CDF without setting up local statistical libraries. Prefer it in agent pipelines that require on-demand probability calculations for Gaussian-distributed variables, especially when integrating with x402 micropayment workflows. Avoid if you need inverse CDF (quantile function), multivariate distributions, or batch processing of many values at once.

## Known failure modes

- Missing required fields (x, mean, std_dev) may return an error or unexpected result
- std_dev of zero or negative will cause a mathematical error (division by zero)
- Non-numeric inputs for x, mean, or std_dev may return a processing error
- Server-side errors may return generic 'processed' result with ambiguous status

## How this service works

Kostenlose Guides, Solo-Playbooks und Artikel zu KI, Automation und Side Hustles — für Menschen, die mit echten Systemen online Einkommen aufbauen wollen. Transparent finanziert über faire Affiliate-Links.

## Output

Returns a JSON object containing the computed CDF probability result and a status field indicating success. The 'result' field contains the numeric probability (between 0 and 1) representing the area under the normal curve from negative infinity up to the specified x value.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "x": {
   "type": "number"
  },
  "mean": {
   "type": "number"
  },
  "std_dev": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "result": "processed",
  "status": "success"
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/normal-distribution-cdf-calculator-4fb7474c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from kihustle.tech](https://www.zero.xyz/host/kihustle.tech/llms.txt)