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Published equation contexts

n  ≥  z2 p(1−p)e2n \;\geq\; \frac{z^{2}\, p(1-p)}{e^{2}}

Why this formula appears here

​ . To bound that uncertainty to a half-width e at a chosen confidence level z , the standard requirement is n  ≥  z2 p(1−p)e2n \;\geq\; \frac{z^{2}\, p(1-p)}{e^{2}}. which, for a rate near one half and a 95% confidence interval within five percentage points, already calls for several hundred independent trials rather than five or ten. The practical conclusion is not that every team needs a statistics department before shipping a tool; it is that “it passed when I tried it a few times” and “it passes at a known, bounded rate” are different claims, and only a CI-integrated harness run at real scale can make the second one.

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nn

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.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction.

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Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

n  ≥  z2 p(1−p)e2,n \;\geq\; \frac{z^{2}\, p(1-p)}{e^{2}},

Equation 9 · AI Infrastructure

Building a Production-Grade MCP Server

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

​ . To bound that uncertainty to a half-width e at a chosen confidence level z , the standard requirement is n  ≥  z2 p(1−p)e2n \;\geq\; \frac{z^{2}\, p(1-p)}{e^{2}}. which, for a rate near one half and a 95% confidence interval within five percentage points, already calls for several hundred independent trials rather than five or ten. The practical conclusion is not that every team needs a statistics department before shipping a tool; it is that “it passed when I tried it a few times” and “it passes at a known, bounded rate” are different claims, and only a CI-integrated harness run at real scale can make the second one.

Meanings in this article

  • pp: the some true success probability.
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