Physics307L F07:Schedule/Week 12 agenda/Binomial

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Binomial Distribution

[math]\displaystyle{ f(k;n,p)={n\choose k}p^k(1-p)^{n-k} }[/math]

Say you are calculating the probability of having k girls in a family with n children. p is the probability of a single birth resulting in a girl. f tells you the probability of k girls.

[math]\displaystyle{ {n\choose k}=\frac{n!}{k!(n-k)!} }[/math]

Pascal's Triangle

Vioxx example