Physics307L F09:Schedule/Week 14 agenda/Likelihood

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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:

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