distribution_probability
Calculate the probability that a random variable X meets a condition (e.g., X < 5) for a specified distribution type and parameters, returning symbolic or numeric results.
Instructions
Calculate probability P(condition).
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🆕 NOT AVAILABLE IN SYMPY-MCP!
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Args:
distribution_type: Type of distribution
parameters: Distribution parameters
condition: Condition string using X as the random variable
- "X < 5", "X > 2", "X >= 3", "X <= 1"
- "2 < X < 5" (between two values)
Returns:
Probability (symbolic or numeric)
Examples:
# P(X < 0) for standard normal
distribution_probability("normal", {"mean": "0", "std": "1"}, "X < 0")
→ {"probability": "1/2", ...}
# P(1 < X < 3) for exponential
distribution_probability("exponential", {"rate": "lambda"}, "1 < X < 3")
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| condition | Yes | ||
| parameters | Yes | ||
| distribution_type | Yes |
Output Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
No arguments | |||