Binomial, Poisson and normal distribution probabilities
Binomial, Poisson and normal distribution probabilities - exact, at most, at least, ranges, z-scores and quantiles with mean and standard deviation
Answers HTTP 404 without x402 payment termsour last check, 2026-10-18
0 of 1checks answered this week
n/amedian answer time
$0.01listed price per call
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Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.
Endpoint
GET https://saylorinnovations.com/api/math/probability
| Category | Everything else |
|---|---|
| Provider host | saylorinnovations.com |
| Networks | eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp |
| Payment schemes | exact |
| Self-reported calls, 30 days | 1 from 1 payers (the provider's figure, not ours) |
Our checks, last 30 days
| Day | Result | HTTP | Asked | Time |
|---|---|---|---|---|
| 2026-10-18 | no x402 terms | 404 | 424 ms |
Example input (from the provider)
{
"method": "GET",
"queryParams": {
"dist": "binomial",
"k": "8",
"n": "20",
"p": "0.3"
},
"type": "http"
}
Promised output schema (from the provider)
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET",
"POST",
"PUT",
"PATCH",
"DELETE",
"HEAD"
],
"type": "string"
},
"queryParams": {
"properties": {
"dist": {
"description": "binomial, poisson or normal",
"type": "string"
},
"k": {
"description": "number of successes or events",
"type": "string"
},
"n": {
"description": "binomial trials",
"type": "string"
},
"p": {
"description": "binomial success probability (or quantile probability for normal)",
"type": "string"
}
},
"required": [
"dist",
"n",
"p",
"k"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"distribution": {
"type": "string"
},
"k": {
"type": [
"number",
"null"
]
},
"mean": {
"type": "number"
},
"mode": {
"description": "Mode used",
"type": [
"number",
"null"
]
},
"n": {
"type": [
"number",
"null"
]
},
"note": {
"description": "Caveat or context for reading the result",
"type": "string"
},
"p": {
"type": [
"number",
"null"
]
},
"p_at_least_k": {
"description": "P at least k",
"type": [
"number",
"null"
]
},
"p_at_most_k": {
"description": "P at most k",
"type": [
"number",
"null"
]
},
"p_exactly_k": {
"description": "P exactly k",
"type": [
"number",
"null"
]
},
"p_more_than_k": {
"description": "P more than k",
"type": [
"number",
"null"
]
},
"sd": {
"type": [
"number",
"null"
]
},
"source": {
"description": "Data source the values come from",
"type": "string"
},
"variance": {
"type": [
"number",
"null"
]
}
},
"required": [
"distribution",
"mean"
],
"type": "object"
},
"type": {
"const": "json",
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}