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Poisson Distribution Calculator
x402
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 2026-09-13).
Computes the Poisson probability mass function P(X=k) given an event rate (lambda) and a count (k)
Price / call$0.002
Success—
StatusUnknown
How this service works
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Output
Returns a JSON object with a computed Poisson probability result and a success status indicator, representing P(X=k) for the given lambda_rate and k values.
Example use cases
Call center traffic modeling
“Given that our call center receives an average of 5 calls per minute, what's the probability that exactly 7 calls arrive in a given minute?”
Website error rate analysis
“Our server averages 1.2 errors per hour — what's the Poisson probability of getting exactly 0 errors in the next hour?”
Quality control defect estimation
“If a production line produces on average 2 defects per batch, what's the probability of seeing exactly 4 defects in a single batch?”
Technical details
Endpoint
POSThttps://kihustle.tech/api/v1/poisson-distributionWhen to prefer
Use this endpoint when you need a quick, pay-per-call Poisson PMF computation without setting up a local math library or stats environment. Best suited for agents performing probabilistic modeling of rare or discrete events (arrivals, defects, failures) where k and lambda are already known.
Side effects
- Missing or non-integer k value returns an error
- Negative lambda_rate may cause computation failure
- Malformed JSON body results in a 400-level error
- Very large k values may cause numerical overflow
- Payment not included or invalid returns a 402 response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| k | integer | |
| lambda_rate | number |
Output
Schema · Response
{
"type": "json",
"example": {
"result": "processed",
"status": "success"
}
}Tags
x402
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