{"uid":"cap_DQknCCfVOjuhIG8oNQrAz","slug":"normal-distribution-cdf-calculator-ce7396a0","name":"Normal Distribution CDF 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/normal-distribution-cdf?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"x":{"type":"number"},"mean":{"type":"number"},"std_dev":{"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__TQ3quiTdAujf9wzzSYvY","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 cumulative distribution function (CDF) of a normal distribution for a given value, mean, and standard deviation","exampleAgentPrompt":"Calculate the cumulative probability for a normal distribution where x is 1.96, the mean is 0, and the standard deviation is 1 — I need the probability that the variable falls below that value.","exampleUseCases":[{"title":"p-value lookup for hypothesis test","prompt":"I'm running a z-test and my z-score is 2.33 with a standard normal distribution (mean 0, std 1). What's the cumulative probability up to that z-score?"},{"title":"Quality control threshold check","prompt":"Our process has a mean of 50 and a standard deviation of 5. What's the probability that a randomly selected item measures 45 or below? Use the normal distribution CDF."},{"title":"Finance risk percentile estimation","prompt":"Asset returns follow a normal distribution with a mean of 0.08 and standard deviation of 0.15. What's the probability that the return is less than 0 — i.e. a loss?"}],"resultDescription":"Returns a JSON object containing the computed CDF probability result (a value between 0 and 1 indicating the cumulative probability up to x) along with a success status field.","failureModes":["Missing required fields (x, mean, or std_dev) return an error","Non-numeric inputs cause a validation failure","std_dev of zero causes a division-by-zero or invalid distribution error","Network or service unavailability returns a non-200 response"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, pay-per-call normal distribution CDF computation without setting up a local math library. Ideal for agents performing statistical hypothesis testing, risk assessment, or probability queries on the fly where running scipy or similar locally is not feasible.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-10T12:43:21.552Z","isFirstParty":false,"canonicalSlug":"normal-distribution-cdf-calculator-4fb7474c"}