{"uid":"cap_sn_CSSehf1t0J_OoLB_uP","slug":"numora-statistics-distribution-computation-cf026fa0","name":"Numora Statistics 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://numomo.vercel.app/api/statistics/distribution","method":"POST","headers":{},"bodySchema":{"type":"object","required":["type"],"properties":{"type":{"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_Y2npUpp0g1YvHgDJqPcuL","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 probability distributions and related metrics given a distribution type and parameters","exampleAgentPrompt":"Calculate a normal distribution with mean 0 and standard deviation 1, and give me the PDF value at x=1.96.","exampleUseCases":[{"title":"Hypothesis testing critical values","prompt":"I need the t-distribution CDF value for 2.5 degrees of freedom 10, so I can check if my test statistic is significant at the 95% confidence level."},{"title":"Risk modeling with Poisson arrivals","prompt":"Compute a Poisson distribution with lambda 4.5 and tell me the probability of getting exactly 3 events — I'm modeling rare failure events in my system."},{"title":"Grading curve using normal distribution","prompt":"Use a normal distribution with mean 72 and standard deviation 8 to find what score corresponds to the 90th percentile, so I can set the A-grade cutoff."}],"resultDescription":"Returns a JSON object with 'success' (boolean), 'result' (an object containing distribution values such as PDF, CDF, mean, variance, and other relevant statistical metrics depending on the distribution type), and 'computation' (a human-readable string describing what was computed).","failureModes":["Missing required 'type' field returns an error","Unsupported distribution type name causes failure","Invalid or out-of-range parameters (e.g. negative standard deviation) may return computation error","Malformed params object structure causes bad request","Payment failure via x402 prevents execution"],"whenToPreferThis":"Choose this endpoint when you need pure server-side statistical distribution computations without relying on client-side math libraries, when you need reproducible and precise distribution values in an agent pipeline, or when you need to compute distributions as part of a larger automated workflow using x402 micropayments. Prefer this over general-purpose code-execution endpoints when you want a lightweight, dedicated math API call with no setup overhead.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:34:16.281Z","isFirstParty":false}