{"uid":"cap_KoUlG2dJsGOsWiMogckwh","slug":"kihustle-poisson-distribution-calculator-408ed1cb","name":"KiHustle Poisson Distribution Calculator","description":"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.","url":"https://kihustle.tech/bot-bazaar/api/v1/poisson-distribution?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"k":{"type":"integer"},"lambda_rate":{"type":"number"}}},"responseSchema":{"type":"json","example":{"result":"processed","status":"success"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.002","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.002/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_SB_JYrtkDMg7wIeX-9ptL","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.002","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the Poisson probability mass function for a given event count (k) and average rate (lambda), returning the probability result.","exampleAgentPrompt":"What is the Poisson probability of getting exactly 4 events if the average rate is 2.5 per interval?","exampleUseCases":[{"title":"Call center arrival rate modeling","prompt":"If a call center gets an average of 6 calls per hour, what's the probability of receiving exactly 8 calls in the next hour? Use a Poisson model with lambda 6 and k 8."},{"title":"Website traffic spike probability","prompt":"My site averages 10 visits per minute. What's the Poisson probability of exactly 15 visits hitting in one minute? Use lambda 10 and k 15."},{"title":"Rare defect probability in manufacturing","prompt":"Our factory line averages 2 defects per batch. What is the probability of seeing exactly 0 defects in the next batch? Calculate the Poisson PMF with lambda 2 and k 0."}],"resultDescription":"Returns a JSON object with a 'result' field containing the computed Poisson probability value and a 'status' field confirming success.","failureModes":["Missing or non-integer k value returns an error","Negative or zero lambda_rate may cause computation errors","Invalid JSON body results in a 400-level response","Payment not included or insufficient USDC triggers a 402 payment required error"],"whenToPreferThis":"Choose this endpoint when you need a quick, pay-per-call Poisson PMF calculation without setting up a local statistics library. Suitable for agents that occasionally need probability estimates for rare events, queueing models, or discrete event simulations without heavier dependencies.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-12T18:50:45.275Z","isFirstParty":false,"canonicalSlug":"kihustle-poisson-distribution-calculator-3a86b845"}