Alternative Equation Formats

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MathML

l ( n , p ; y ) = log { Γ ( n + y ) } log { Γ ( n ) } log { Γ ( y + 1 ) }   + n log { p } + y log { 1 p } E [ Y ] = n P = n ( 1 p p ) V a r [ Y ] = n P ( 1 P ) = n ( 1 p p ) 1 p n 0 0 < p < 1

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(n,p;y) & = \log \{ \Gamma (n+y)\} - \log \{ \Gamma (n)\} - \log \{ \Gamma (y+1)\} \\ & \mbox{ } +n \log \{ p\} + y \log \{ 1-p\} \\ \mr{E}[Y] & = nP = n\left(\frac{1-p}{p}\right)\\ \mr{Var}[Y] & = nP(1-P) = n\left(\frac{1-p}{p}\right)\frac{1}{p}\\ n & \ge 0 \\ 0 & < p < 1 \end{align*}