{"uid":"cap_7-98dmXiCuOQEkWFgpdd8","slug":"kihustle-poisson-distribution-calculator-3a86b845","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/nexus/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_tGAhLGB1tEyLRq_1BI40_","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 (PMF) for a given number of events k and an average rate lambda","exampleAgentPrompt":"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.","exampleUseCases":[{"title":"Call center traffic modeling","prompt":"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."},{"title":"Defect rate quality control","prompt":"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."},{"title":"Website hit spike estimation","prompt":"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."}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-20T18:47:56.291Z","isFirstParty":false,"canonicalSlug":"kihustle-poisson-distribution-calculator-3a86b845"}