# Physics307L F09:Schedule/Week 14 agenda/Likelihood

## Previously:Demonstrated max likelihood with normal distribution

### For a given collection of data points, $\displaystyle x_1, x_2, ... x_i$ , can calculate relative probability of various parent gaussian distributions:

$\displaystyle prob \propto \frac {1}{\sigma^N} e^{-\sum(x_i-X)^2 / 2 \sigma^2}$