{"uid":"cap_nSFk3bOw3yQZJAZkKVLQ-","slug":"numora-statistical-distribution-computation-97f3774c","name":"Numora Statistical Distribution Computation","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numormo.vercel.app/api/statistics/distribution","method":"POST","headers":{},"bodySchema":{"type":"object","required":["type"],"properties":{"type":{"enum":["normal","binomial","poisson","uniform"],"type":"string"},"params":{"type":"object"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_236pZHAMaDS4Anp0FMy2I","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes statistical distribution parameters and properties (PDF, CDF, mean, variance, etc.) for normal, binomial, Poisson, or uniform distributions","exampleAgentPrompt":"Calculate the normal distribution properties with mean 0 and standard deviation 1 — I need the PDF, CDF, mean, and variance.","exampleUseCases":[{"title":"Exam score probability modeling","prompt":"I have exam scores that follow a normal distribution with mean 72 and standard deviation 8 — can you compute the distribution properties so I can figure out probabilities around the curve?"},{"title":"Defect rate binomial analysis","prompt":"Model a binomial distribution for a quality control scenario where I run 50 trials and each part has a 0.03 probability of being defective — give me the mean, variance, and distribution stats."},{"title":"Customer arrivals Poisson model","prompt":"Compute a Poisson distribution with lambda equal to 4.5 arrivals per hour — I need the mean, variance, and probability mass function values for my queuing model."}],"resultDescription":"Returns a JSON object with success: true, a result object containing computed distribution properties (such as PDF/PMF values, CDF, mean, variance, standard deviation, and other distribution-specific statistics), and a human-readable computation string describing what was calculated.","failureModes":["Missing required 'type' field returns validation error","Invalid distribution type (not one of normal/binomial/poisson/uniform) returns error","Missing required params for a given distribution type (e.g. lambda for Poisson) may return error or default behavior","Malformed params object returns parse error","Payment failure via x402 returns 402 Payment Required"],"whenToPreferThis":"Choose this endpoint when you need pure server-side statistical distribution computation with no external dependencies — ideal for AI agents that need fast, reliable math without calling a data provider or running code locally. Prefer this over general-purpose code execution when you want a structured JSON result with named distribution properties. Best suited for well-known parametric distributions (normal, binomial, Poisson, uniform).","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:31:52.709Z","isFirstParty":false}