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Normal Distribution CDF Calculator
x402
Normal Distribution CDF Calculator is a paid API for AI agents from kihustle.tech, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-15).
Computes the cumulative distribution function (CDF) of a normal distribution for a given value, mean, and standard deviation
Price / call$0.002
Success—
StatusUnknown
How this service works
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Output
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.
Example use cases
Z-score percentile lookup
“For a normal distribution with mean 100 and standard deviation 15, what's the probability that a randomly selected value falls below 130?”
Quality control defect rate estimate
“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?”
Finance risk threshold probability
“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?”
Technical details
Endpoint
POSThttps://kihustle.tech/nexus/api/v1/normal-distribution-cdfWhen to prefer
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.
Side effects
- 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
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| x | number | |
| mean | number | |
| std_dev | number |
Output
Schema · Response
{
"type": "json",
"example": {
"result": "processed",
"status": "success"
}
}Tags
x402
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