normal_prob
Normal Distribution Probability — CDF, survival, z-score, and percentile queries for any normal distribution.
This record as markdown: /tools/com-wingmanprotocol-agent-gateway/normal-prob.md
What normal_prob does on Gateway
AI agents call normal_prob to retrieve information from Gateway 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 |
|---|---|---|---|
a | number | — | Lower bound for P(a<X<b) |
b | number | — | Upper bound for P(a<X<b) |
x | number | — | Point for P(X<=x), P(X>x), z-score |
mean | number | — | Distribution mean (default 0) |
std_dev | number | — | Standard deviation > 0 (default 1) |
percentile | number | — | 0..100 -> value at that percentile |
Parameters from the server's own tool schema.
Why normal_prob is rated Low
This is a calculator tool that retrieves or computes statistical probabilities. It accepts parameters and returns computed values without modifying any state, executing code, deleting data, or moving money. The query-based nature (CDF, percentile lookup) is characteristic of Read operations.
From the tool's definition Tool performs statistical computations (CDF, survival, z-score, percentile queries) on normal distributions — pure mathematical lookups with no data mutation, side effects, or external operations.
Attacks that exploit this kind of access
The rule that runs normal_prob safely
PolicyLayer is an MCP gateway: it sits between your AI agents and Gateway, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For normal_prob, this is the rule to start with:
normal_prob 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 Gateway, apply this rule, and every normal_prob call is checked against it from then on.
Questions about normal_prob
Normal Distribution Probability — CDF, survival, z-score, and percentile queries for any normal distribution. It is categorised as a Read tool in the Gateway MCP Server, which means it retrieves data without modifying state.
normal_prob accepts 6 parameters: a, b, x, mean, std_dev, percentile. The full parameter table on this page comes from the server's own tool schema.
Register the Gateway MCP server in PolicyLayer and add a rule for normal_prob: 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 Gateway. Nothing to install.
normal_prob 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_prob 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_prob. 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_prob is provided by the Gateway MCP server (https://wingmanprotocol.com/mcp). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
More on Gateway, and thousands of servers like it.
This server
Across the catalogue