# Physics307L:Schedule/Week 10 agenda/Poisson

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## Contents

- 1 Poisson Distribution
- 1.1 Is the limit of the bionomial distribution when probability of success goes to zero, number of trials goes to infinity, and p*n = lambda
- 1.2 For a given collection of data, thought to be Poisson distributed, the maximum likelihood fit is
- 1.3 where x_i are the counts recorded in each trial, and N is the number of trials
- 1.4 Example: decay of radioactive sample

## Poisson Distribution

**mass**function) (This is a probability

### Is the limit of the bionomial distribution when probability of success goes to zero, number of trials goes to infinity, and p*n = lambda