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KiHustle Poisson Distribution Calculator
x402
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
Price / call$0.002
Success—
StatusUnknown
How this service works
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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.
Example use cases
Call center traffic modeling
“If our call center gets an average of 8 calls per minute, what's the Poisson probability that exactly 10 calls arrive in any given minute? Use k=10 and lambda_rate=8.”
Defect rate quality control
“Our production line averages 2 defects per batch. What's the probability we see exactly 0 defects in the next batch? Compute the Poisson PMF with k=0 and lambda_rate=2.”
Website hit spike estimation
“Our server normally handles an average of 15 requests per second. What's the probability of exactly 20 requests hitting in a single second? Calculate the Poisson probability with lambda_rate=15 and k=20.”
Technical details
Endpoint
POSThttps://kihustle.tech/nexus/api/v1/poisson-distribution?utm_source=zero.xyzWhen to prefer
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.
Side effects
- 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
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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