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[3.12] Simplify binomial approximation example with random.binomialvariate() (gh-113871) #113872

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merged 1 commit into from
Jan 9, 2024
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[3.12] Simplify binomial approximation example with random.binomialvariate() (gh-113871) #113872

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11 changes: 4 additions & 7 deletions Doc/library/statistics.rst
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Original file line number Diff line number Diff line change
Expand Up @@ -1016,19 +1016,16 @@ 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
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