From: Raymond Hettinger <rhettinger@users.noreply.github.com>
Date: Tue, 9 Jan 2024 19:02:07 +0000 (-0600)
Subject: Simplify binomial approximation example with random.binomialvariate() (gh-113871)
X-Git-Tag: v3.13.0a3~130
X-Git-Url: http://git.ipfire.org/gitweb.cgi?a=commitdiff_plain;h=2fd2e747930987eb8ed4929cf0132e85db759dab;p=thirdparty%2FPython%2Fcpython.git

Simplify binomial approximation example with random.binomialvariate() (gh-113871)
---

diff --git a/Doc/library/statistics.rst b/Doc/library/statistics.rst
index 5c8ad3a7dd73..588c9c0be4ea 100644
--- a/Doc/library/statistics.rst
+++ b/Doc/library/statistics.rst
@@ -1026,19 +1026,16 @@ probability that the Python room will stay within its capacity limits?
     >>> round(NormalDist(mu=n*p, sigma=sqrt(n*p*q)).cdf(k + 0.5), 4)
     0.8402
 
-    >>> # Solution using the cumulative binomial distribution
+    >>> # Exact solution using the cumulative binomial distribution
     >>> from math import comb, fsum
     >>> round(fsum(comb(n, r) * p**r * q**(n-r) for r in range(k+1)), 4)
     0.8402
 
     >>> # Approximation using a simulation
-    >>> from random import seed, choices
+    >>> from random import seed, binomialvariate
     >>> seed(8675309)
-    >>> def trial():
-    ...     return choices(('Python', 'Ruby'), (p, q), k=n).count('Python')
-    ...
-    >>> mean(trial() <= k for i in range(10_000))
-    0.8398
+    >>> mean(binomialvariate(n, p) <= k for i in range(10_000))
+    0.8406
 
 
 Naive bayesian classifier