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Saylor Innovations Data Desk – Probability Distributions
x402
Saylor Innovations Data Desk – Probability Distributions is a paid API for AI agents from saylorinnovations.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-23).
Computes binomial, Poisson, and normal distribution probabilities including exact, cumulative, range, z-score, and quantile calculations given distribution parameters
Price / call$0.01
Success—
StatusUnknown
How this service works
Binomial, Poisson and normal distribution probabilities - exact, at most, at least, ranges, z-scores and quantiles with mean and standard deviation
Output
Returns a JSON object with the distribution name, mean, variance, standard deviation, mode, and four cumulative/exact probability values: P(exactly k), P(at most k), P(at least k), P(more than k). Also includes the input k and n values, a source label, and an explanatory note for interpreting the results.
Example use cases
Quality control defect rate check
“In a batch of 50 manufactured parts where each part has a 4% defect probability, what's the probability that exactly 2 parts are defective, and what's the chance of getting 2 or fewer defective parts? Use a binomial distribution.”
Call center arrival modeling
“Our call center receives an average of 8 calls per hour. Using a Poisson distribution with mean 8, what's the probability of receiving exactly 10 calls in an hour, and at least 10 calls?”
Exam score threshold analysis
“Student exam scores follow a normal distribution with a mean of 72 and standard deviation of 9. What's the probability that a randomly selected student scored above 85? Give me P(X >= 85) for a normal distribution.”
Technical details
Endpoint
GEThttps://saylorinnovations.com/api/math/probability?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need precise statistical probability calculations for binomial, Poisson, or normal distributions — including cumulative (CDF), exact (PMF/PDF), and tail probabilities — without needing to run local math libraries. Ideal for agents performing quality control analysis, risk assessment, hypothesis testing setup, or educational statistics tasks that require on-demand, accurate probability values at low cost.
Side effects
- Missing required query parameters (dist, n, p, k) returns an error
- Invalid distribution type string (not 'binomial', 'poisson', or 'normal') causes a failure
- Out-of-range probability value for p (not between 0 and 1) may produce errors
- Non-integer or negative k or n values may cause computation errors
- Network or payment (x402) failures result in no response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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