{"uid":"cap_a_Ga23fdUeuFdkEByohXg","slug":"kihustle-normal-distribution-cdf-calculator-a17cf182","name":"KiHustle 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/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_sAlWXRu5vklxN1Lt9mAzN","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 x = 1.96, assuming a normal distribution with mean 0 and standard deviation 1?","exampleUseCases":[{"title":"Z-score percentile lookup for test scores","prompt":"I have a student who scored 75 on a test where the mean is 70 and the standard deviation is 10. What's the probability that a randomly chosen student scored at or below 75?"},{"title":"Quality control threshold probability","prompt":"In our manufacturing process the part length follows a normal distribution with mean 50mm and std dev 2mm. What's the cumulative probability that a randomly sampled part measures 53mm or less?"},{"title":"Financial return risk assessment","prompt":"Our monthly returns are normally distributed with a mean of 0.5% and a standard deviation of 2%. What's the probability of earning 1% or less in a given month?"}],"resultDescription":"A JSON object containing the computed CDF probability value (a number between 0 and 1) representing P(X <= x) for the specified normal distribution parameters, along with a status field indicating success.","failureModes":["Missing required parameters (x, mean, or std_dev) result in an error response","Non-numeric values for parameters cause validation failure","std_dev of zero or negative causes mathematical error","Network or server errors return non-success status"],"whenToPreferThis":"Choose this endpoint when you need a quick, cheap ($0.002 per call) serverless computation of the normal distribution CDF without running local statistics libraries or setting up your own math environment. Ideal for agents embedded in workflows that lack native statistical packages or need to offload probability calculations on demand.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T19:02:26.437Z","isFirstParty":false}