# KiHustle Poisson Distribution Calculator

> KiHustle Poisson Distribution Calculator is a paid API for AI agents from kihustle.tech, paid per call via x402, $0.002/call, status unknown (last checked 2026-10-20).

Computes the Poisson probability mass function (PMF) for a given number of events k and an average rate lambda

## Facts

- Endpoint: POST https://kihustle.tech/nexus/api/v1/poisson-distribution?utm_source=zero.xyz
- Price: $0.002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-20
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/kihustle-poisson-distribution-calculator-3a86b845
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_7-98dmXiCuOQEkWFgpdd8

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 kihustle-poisson-distribution-calculator-3a86b845 -d '<json body>'
```

Example prompt: What's the probability of exactly 3 customer arrivals in a given hour if the average arrival rate is 5 per hour? Use the Poisson distribution with k=3 and lambda=5.

## When to prefer this

Choose this endpoint when you need a lightweight, pay-per-call Poisson PMF computation without setting up a local math library or statistical environment. It is best suited for agents that occasionally need to evaluate discrete probability distributions in workflows involving queueing theory, reliability engineering, epidemiology, or traffic modeling.

## Known failure modes

- Missing or non-integer k parameter causes validation error
- Negative lambda_rate value may produce undefined behavior or error
- Malformed JSON body returns 400 or processing error
- Extremely large k or lambda_rate values may cause numerical overflow or timeout
- Network or server errors return generic failure 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 Poisson PMF result (the probability value) and a success status indicator, given the integer k and the rate parameter lambda_rate.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "k": {
   "type": "integer"
  },
  "lambda_rate": {
   "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/kihustle-poisson-distribution-calculator-3a86b845/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)