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# Statistic 4

Question | Answer |
---|---|

Any collection of results or outcomes of a procedure | Event |

An outcome or event that can not be further broken down into simpler components | Simple event |

A procedure consisting of all possible simple events | Sample space |

Relative frequency | Observation of the number of times that event A actually occurs. P(A)= number of times A occurred/number of times the procedure was repeated |

Relative frequency example | Free throws made/ attempts= next free throw |

Law of large numbers | Relative frequency: The more observations the better the probability of the outcome |

Classical approach to probability | Requires equally likely outcomes Assume that a given procedure has "n" different sample events and each of those simple events has an equal chance of occurring. P(A)= # of ways A occur/ # of diff. Simple events |

Classical approach of probability example | Dye roll: probability of getting a roll of 1? 1/6 chances of getting a 1. |

Complement | Event A, denoted by A (with a bar on top), consist of all outcomes in which event A doesn't occur |

Unlikely vs. Unusual | Unlikely: probability is very small (0.05 or less) Unusual: extreme outcomes |

Rare event rule | If given under the assumption, the probability of a particular observed event is extremely small, we can conclude that the assumption is not correct. |

Addition rule notation | P(A or B)=P(A)+P(B)-P(A and B) "OR" addition Mutually exclusive/disjoint |

Inclusive vs. Exclusive | Inclusive: one or the other or both Exclusive: one or the other but not both |

Compound events | Any event combining two or more simple events |

Disjoint/Mutually Exclusive | Events A and B Cannot occur at the same time. P(A or B)=P(A)+P(B)-P(A and B) |

Multiplication rule | P(A and B)=P(A)P(B) "AND" multiplication |

Independent | Two events A and B are independent if the occurrence of the one does not effect the other (with replacement) |