poisson_probability
Calculate Poisson distribution PMF and CDF for k events with rate lambda.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/poisson-probability.md
What poisson_probability does on UnClick
AI agents call poisson_probability to retrieve information from UnClick without modifying anything. It is typically the context-gathering step in research, monitoring, and reporting workflows, before the agent takes action elsewhere.
| Parameter | Type | Required | Description |
|---|---|---|---|
k | number | Yes | Number of events (non-negative integer). |
lambda | number | Yes | Expected rate (positive). |
Parameters from the server's own tool schema.
Why poisson_probability is rated Low
This is a pure computational utility that reads input parameters and returns statistical values. It has no capability to modify state, execute arbitrary code, delete data, or commit financial transactions. The blast radius of misuse is negligible—incorrect inputs would only produce incorrect statistical outputs, with no persistent or external consequences.
From the tool's definition Tool performs a statistical calculation (Poisson distribution PMF and CDF) with no side effects. The description indicates it 'calculates' and returns mathematical results based on input parameters (k events, rate lambda).
Attacks that exploit this kind of access
The rule that runs poisson_probability safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For poisson_probability, this is the rule to start with:
poisson_probability is read-only, so it stays allowed. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every poisson_probability call is checked against it from then on.
Questions about poisson_probability
Calculate Poisson distribution PMF and CDF for k events with rate lambda. It is categorised as a Read tool in the UnClick MCP Server, which means it retrieves data without modifying state.
poisson_probability accepts 2 parameters: k, lambda. Required: k, lambda. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for poisson_probability: 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 UnClick. Nothing to install.
poisson_probability is a Read tool with low risk. Read-only tools are generally safe to allow by default.
Yes. Add a rate_limit block to the poisson_probability 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.
Set action: deny in the PolicyLayer policy for poisson_probability. 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.
poisson_probability is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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