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Binomial Distribution With Python

Probability Mass Function: Binomial Distribution

f(k,n,p)=Pr⁡(k;n,p)=Pr⁡(X=k)=(nk)pk(1−p)n−k\displaystyle f(k,n,p)=\Pr(k;n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}

for k=0,1,2,...,nk = 0, 1, 2, ..., n.

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#determine distribution
#consider 10 free throw attempts with p = .5
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#plot probability
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#probability of 6 successes?
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#probability of at least 6 made?
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#with cumulative distribution function
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#Example 2: p = 0.8, n = 20
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#P(10)
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#P(n > 14)