Physics307L F09:Schedule/Week 10 agenda/Binomial

Binomial Distribution

[math]\displaystyle{ f(k;n,p)={n\choose k}p^k(1-p)^{n-k} }[/math] (This is a probability mass function)

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]