Evaluate the Normal probability density function (PDF) at a point. Returns the density value. Examples: normal_distribution(0) -> 0.3989 (peak of standard normal), normal_distribution(1, 0, 1) -> 0.2420
AI agents call normal_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 tool performs a deterministic mathematical function evaluation (PDF calculation) with no side effects, no data creation/modification, no code execution, no deletion, and no financial transactions. It is a straightforward read-only computation similar to query or fetch operations on static mathematical functions.
From the tool's definition Tool name 'normal_distribution' and description indicate it 'Evaluate[s] the Normal probability density function (PDF) at a point.
Documented attack patterns abuse exactly the kind of access normal_distribution gives an agent:
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 normal_distribution:
{
"version": "1",
"default": "deny",
"tools": {
"normal_distribution": {}
}
} normal_distribution is read-only, so it stays allowed — but everything else on the server is denied unless you say otherwise.
Free to start. No card required.
Evaluate the Normal probability density function (PDF) at a point. Returns the density value. Examples: normal_distribution(0) -> 0.3989 (peak of standard normal), normal_distribution(1, 0, 1) -> 0.2420. It is categorised as a Read tool in the MCP Calc Tools MCP Server, which means it retrieves data without modifying state.
Register the MCP Calc Tools MCP server in PolicyLayer and add a rule for normal_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.
normal_distribution 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 normal_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.
Set action: deny in the PolicyLayer policy for normal_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.
normal_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.
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.
Free to start. No card required.
22 MCP Calc Tools tools catalogued and risk-classified — across an index of 43,000+ MCP servers.