poisson_distribution

Calculate Poisson probability P(X=k) for a given rate lambda. Example: poisson_distribution(3, 2) -> 0.1804 (probability of exactly 3 events when average rate is 2)

ServerMCP Calc Tools
CategoryRead

How to control poisson_distribution ↓

WHAT IT DOES

What poisson_distribution does on MCP Calc Tools

AI agents call poisson_distribution to retrieve information from MCP Calc Tools without modifying anything — typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.

THE RISK

Low Risk

Why poisson_distribution needs a policy

This is a pure mathematical computation tool that retrieves/calculates a statistical result without creating, modifying, deleting, or executing external operations. It falls squarely into the Read category. The low severity reflects that misuse would only affect calculation outputs, not data integrity or system state.

From the tool's definition The tool 'poisson_distribution' calculates and returns a probability value P(X=k) based on mathematical input parameters (k and lambda).

Documented attack patterns abuse exactly the kind of access poisson_distribution gives an agent:

POLICY

How to control poisson_distribution

PolicyLayer is an MCP gateway — it sits between your AI agents and MCP Calc Tools, and nothing reaches the server without passing your rules. This is the rule we recommend for poisson_distribution:

policy.json

{
  "version": "1",
  "default": "deny",
  "tools": {
    "poisson_distribution": {}
  }
}

poisson_distribution is read-only, so it stays allowed — but everything else on the server is denied unless you say otherwise.

Create a free account and register MCP Calc Tools — nothing to install.
Add this policy — paste it, or build it visually.
Point your MCP client (Claude, Cursor, anything) at your gateway URL.

CAP THIS TOOL →

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EXPLORE

Related tools and policies

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Go deeper

The MCP Attack Database → Documented attack patterns against MCP deployments — and the policies that stop them.
Data exfiltration → How read access becomes an exfiltration channel when chained with untrusted content.
MCP token cost → What connecting this server costs in context-window tokens on every request.
Rate Limiting MCP Tool Calls: A Practical Guide →
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FAQ

Questions about poisson_distribution

What does the poisson_distribution tool do? +

Calculate Poisson probability P(X=k) for a given rate lambda. Example: poisson_distribution(3, 2) -> 0.1804 (probability of exactly 3 events when average rate is 2). It is categorised as a Read tool in the MCP Calc Tools MCP Server, which means it retrieves data without modifying state.

How do I enforce a policy on poisson_distribution? +

Register the MCP Calc Tools MCP server in PolicyLayer and add a rule for poisson_distribution: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches MCP Calc Tools. Nothing to install.

What risk level is poisson_distribution? +

poisson_distribution is a Read tool with low risk. Read-only tools are generally safe to allow by default.

Can I rate-limit poisson_distribution? +

Yes. Add a rate_limit block to the poisson_distribution rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.

How do I block poisson_distribution completely? +

Set action: deny in the PolicyLayer policy for poisson_distribution. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.

What MCP server provides poisson_distribution? +

poisson_distribution is provided by the MCP Calc Tools MCP server (nbiish/mcp-calc-tools). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.

Enforce policy on every MCP Calc Tools tool call.

Start from MCP Calc Tools, add the rest of your stack, and see everything your agents can call. Then put policy on all of it.

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22 MCP Calc Tools tools catalogued and risk-classified — across an index of 43,000+ MCP servers.