ToolAssay

Exact pmf, cumulative and tail tables for geometric, negative binomial, hypergeo

Exact pmf, cumulative and tail tables for geometric, negative binomial, hypergeometric, binomial and Poisson.

Answeringour last check, 2026-10-21
1 of 1checks answered this week
1149 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://probability-calc.x402tookit.com/distribution-table

CategoryEverything else
Provider hostprobability-calc.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 1149 ms

Example input (from the provider)

{
  "method": "GET",
  "queryParams": {
    "K": 13,
    "N": 52,
    "dist": "hypergeometric",
    "n": 5
  },
  "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": {
            "K": {
              "description": "Successes in the population (hypergeometric)",
              "type": "integer"
            },
            "N": {
              "description": "Population size (hypergeometric), up to 1e6",
              "type": "integer"
            },
            "dist": {
              "description": "One of geometric, negative-binomial, hypergeometric, binomial, poisson",
              "type": "string"
            },
            "k": {
              "description": "Optional point of interest: adds pmf, P(X<=k) and P(X>=k) for this k",
              "type": "integer"
            },
            "lambda": {
              "description": "Mean rate (Poisson), 0 to 1000",
              "type": "number"
            },
            "n": {
              "description": "Trials (binomial) or draws (hypergeometric)",
              "type": "integer"
            },
            "p": {
              "description": "Success probability (geometric, negative-binomial, binomial)",
              "type": "number"
            },
            "r": {
              "description": "Successes wanted (negative-binomial), 1 to 1000",
              "type": "integer"
            }
          },
          "required": [
            "dist"
          ],
          "type": "object"
        },
        "type": {
          "const": "http",
          "type": "string"
        }
      },
      "required": [
        "type",
        "method"
      ],
      "type": "object"
    },
    "output": {
      "properties": {
        "example": {
          "properties": {
            "asOf": {
              "type": [
                "null",
                "string"
              ]
            },
            "degraded": {
              "type": [
                "boolean",
                "null"
              ]
            },
            "disclaimer": {
              "type": [
                "null",
                "string"
              ]
            },
            "distribution": {
              "type": [
                "null",
                "string"
              ]
            },
            "mean": {
              "type": [
                "null",
                "number"
              ]
            },
            "mode": {
              "type": [
                "null",
                "number"
              ]
            },
            "notChecked": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "parameters": {
              "properties": {
                "K": {
                  "type": [
                    "null",
                    "number"
                  ]
                },
                "N": {
                  "type": [
                    "null",
                    "number"
                  ]
                },
                "n": {
                  "type": [
                    "null",
                    "number"
                  ]
                }
              },
              "type": [
                "null",
                "object"
              ]
            },
            "reasons": {
              "items": {
                "type": "string"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "source": {
              "type": [
                "null",
                "string"
              ]
            },
            "standardDeviation": {
              "type": [
                "null",
                "number"
              ]
            },
            "summary": {
              "type": [
                "null",
                "string"
              ]
            },
            "support": {
              "type": [
                "null",
                "string"
              ]
            },
            "table": {
              "items": {
                "properties": {
                  "cumulative": {
                    "type": [
                      "null",
                      "number"
                    ]
                  },
                  "k": {
                    "type": [
                      "null",
                      "number"
                    ]
                  },
                  "probability": {
                    "type": [
                      "null",
                      "number"
                    ]
                  },
                  "upperTail": {
                    "type": [
                      "null",
                      "number"
                    ]
                  }
                },
                "type": "object"
              },
              "type": [
                "array",
                "null"
              ]
            },
            "tableComplete": {
              "type": [
                "boolean",
                "null"
              ]
            },
            "variance": {
              "type": [
                "null",
                "number"
              ]
            },
            "verdict": {
              "type": [
                "null",
                "string"
              ]
            }
          },
          "type": "object"
        },
        "type": {
          "type": "string"
        }
      },
      "required": [
        "type"
      ],
      "type": "object"
    }
  },
  "required": [
    "input"
  ],
  "type": "object"
}

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