{"uid":"cap_zWHhybqI04ZJyxsMhuuNe","slug":"normal-distribution-cdf-calculator-4fb7474c","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/nexus/api/v1/normal-distribution-cdf","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_miYlCSVXSkkYS30HDCtvp","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":"What is the cumulative probability for a value of 1.96 on a normal distribution with mean 0 and standard deviation 1?","exampleUseCases":[{"title":"Z-score percentile lookup","prompt":"For a normal distribution with mean 100 and standard deviation 15, what's the probability that a randomly selected value falls below 130?"},{"title":"Quality control defect rate estimate","prompt":"In a manufacturing process where part lengths follow a normal distribution with mean 50mm and standard deviation 2mm, what fraction of parts will be shorter than 46mm?"},{"title":"Finance risk threshold probability","prompt":"Given that daily stock returns are normally distributed with a mean of 0.05 and standard deviation of 0.2, what is the probability that the return is below negative 0.3 on any given day?"}],"resultDescription":"Returns a JSON object containing the computed CDF probability result and a status field indicating success. The 'result' field contains the numeric probability (between 0 and 1) representing the area under the normal curve from negative infinity up to the specified x value.","failureModes":["Missing required fields (x, mean, std_dev) may return an error or unexpected result","std_dev of zero or negative will cause a mathematical error (division by zero)","Non-numeric inputs for x, mean, or std_dev may return a processing error","Server-side errors may return generic 'processed' result with ambiguous status"],"whenToPreferThis":"Use this endpoint when you need a quick, pay-per-call computation of the normal CDF without setting up local statistical libraries. Prefer it in agent pipelines that require on-demand probability calculations for Gaussian-distributed variables, especially when integrating with x402 micropayment workflows. Avoid if you need inverse CDF (quantile function), multivariate distributions, or batch processing of many values at once.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T06:44:32.891Z","isFirstParty":false}