Equation 5 · Building a Production-Grade MCP Server
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol n
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
There is a statistical floor underneath all of this worth making explicit, because it exposes an assumption a five-run smoke test quietly violates. A model’s behaviour on a given prompt is not deterministic across runs, so a single trial is one draw from a Bernoulli process with some true success probability p , and the uncertainty in an observed rate from n independent trials shrinks only as . To bound that uncertainty to a half-width e at a chosen confidence level z , the standard requirement is
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.