Binomial
vs. Poisson

Binomial Distribution | Poisson Distribution |

Fixed Number of
Trials (n) [10 pie throws] |
Infinite Number of Trials |

Only 2 Possible
Outcomes [hit or miss] |
Unlimited Number of Outcomes Possible |

Probability of
Success is Constant (p) [0.4 success rate] |
Mean of the Distribution is the Same for All Intervals (mu) |

Each Trial is
Independent [throw 1 has no effect on throw 2] |
Number of Occurrences in Any Given Interval Independent of Others |

Predicts Number of Successes within a Set Number of Trials | Predicts Number of Occurrences per Unit Time, Space, ... |

Can be Used to Test for Independence | Can be Used to Test for Independence |