CDF, survival, z-score, and percentile queries for any normal distribution.
Free tier eligible — 500 calls/month with a free key from /pricing; x402 pay-per-call above quota.
| Parameter | Type | Required | Description |
|---|---|---|---|
mean | number | optional | Distribution mean (default 0) |
std_dev | number | optional | Standard deviation > 0 (default 1) |
x | number | optional | Point for P(X<=x), P(X>x), z-score |
a | number | optional | Lower bound for P(a<X<b) |
b | number | optional | Upper bound for P(a<X<b) |
percentile | number | optional | 0..100 -> value at that percentile |
curl -s https://wingmanprotocol.com/mcp \
-H 'Content-Type: application/json' \
-H 'Accept: application/json, text/event-stream' \
-d '{"jsonrpc": "2.0", "id": 1, "method": "tools/call", "params": {"name": "normal_prob", "arguments": {"mean": 100, "std_dev": 100, "x": 100}}}'curl -s https://wingmanprotocol.com/tools/normal_prob \
-H 'Content-Type: application/json' \
-d '{"mean": 100, "std_dev": 100, "x": 100}'Edit the JSON and run it — this POSTs to https://wingmanprotocol.com/tools/normal_prob from your browser.
X-Payment header, or get a free key at /pricing (500 calls/month, no card, no crypto).