Physics307L F07:Schedule/Week 12 agenda/Binomial

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Binomial Distribution

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle f(k;n,p)={n\choose k}p^k(1-p)^{n-k}}

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.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle {n\choose k}=\frac{n!}{k!(n-k)!}}

Pascal's Triangle

Vioxx example