ToolAssay

Probability density or mass, cumulative probability and quantiles for normal, bi

Probability density or mass, cumulative probability and quantiles for normal, binomial, Poisson and Student t distributions.

Answeringour last check, 2026-10-21
1 of 1checks answered this week
693 msmedian answer time
$0.02listed price per call
$0.02price it asked us

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://math-stats.x402tookit.com/distribution

CategoryEverything else
Provider hostmath-stats.x402tookit.com
Networkseip155:137, eip155:42161, eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp
Payment schemesexact
Self-reported calls, 30 days1 from 1 payers (the provider's figure, not ours)

Our checks, last 30 days

DayResultHTTPAskedTime
2026-10-21 valid payment request 402$0.02 693 ms

Example input (from the provider)

{
  "method": "GET",
  "queryParams": {
    "dist": "normal",
    "x": 1.96
  },
  "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"
          ],
          "type": "string"
        },
        "queryParams": {
          "properties": {
            "df": {
              "description": "t degrees of freedom",
              "type": "number"
            },
            "dist": {
              "description": "normal, binomial, poisson or t",
              "type": "string"
            },
            "lambda": {
              "description": "Poisson rate",
              "type": "number"
            },
            "mean": {
              "description": "Normal mean (default 0)",
              "type": "number"
            },
            "n": {
              "description": "Binomial trials",
              "type": "number"
            },
            "p": {
              "description": "Probability for a quantile (normal and t only), 0 to 1",
              "type": "number"
            },
            "prob": {
              "description": "Binomial success probability",
              "type": "number"
            },
            "sd": {
              "description": "Normal standard deviation (default 1)",
              "type": "number"
            },
            "x": {
              "description": "Value (k for binomial and poisson)",
              "type": "number"
            }
          },
          "required": [
            "dist"
          ],
          "type": "object"
        },
        "type": {
          "const": "http",
          "type": "string"
        }
      },
      "required": [
        "type",
        "method"
      ],
      "type": "object"
    },
    "output": {
      "properties": {
        "example": {
          "properties": {
            "asOf": {
              "type": [
                "null",
                "string"
              ]
            },
            "cdf": {
              "type": [
                "null",
                "number"
              ]
            },
            "degraded": {
              "type": [
                "boolean",
                "null"
              ]
            },
            "disclaimer": {
              "type": [
                "null",
                "string"
              ]
            },
            "distribution": {
              "type": [
                "null",
                "string"
              ]
            },
            "notChecked": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "parameters": {
              "properties": {
                "mean": {
                  "type": [
                    "null",
                    "number"
                  ]
                },
                "sd": {
                  "type": [
                    "null",
                    "number"
                  ]
                }
              },
              "type": [
                "null",
                "object"
              ]
            },
            "pdf": {
              "type": [
                "null",
                "number"
              ]
            },
            "reasons": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "source": {
              "type": [
                "null",
                "string"
              ]
            },
            "summary": {
              "type": [
                "null",
                "string"
              ]
            },
            "survival": {
              "type": [
                "null",
                "number"
              ]
            },
            "twoSidedTailProbability": {
              "type": [
                "null",
                "number"
              ]
            },
            "verdict": {
              "type": [
                "null",
                "string"
              ]
            },
            "x": {
              "type": [
                "null",
                "number"
              ]
            },
            "zScore": {
              "type": [
                "null",
                "number"
              ]
            }
          },
          "type": "object"
        },
        "type": {
          "type": "string"
        }
      },
      "required": [
        "type"
      ],
      "type": "object"
    }
  },
  "required": [
    "input"
  ],
  "type": "object"
}

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