STA 220 Lecture Notes - Lecture 7: Empirical Probability, Sample Space

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26 Apr 2016
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Sta 220 - lecture 7 - chapter 12. Random phenomena - a situation in which we know what outcomes could happen, but we don"t know which particular outcome will happen. In general, each occasion upon which we observe a random phenomenon is called a trial. At each trial, we note the value of a random phenomenon and call it an outcome. The collection of all possible outcomes is a sample space. Things are simplified if the individual trials are independent. Lln states that the long-run relative frequency of repeated independent events gets closer and closer to a single value. We call the single value the probability of an event. Probability of an event is the number of outcomes in an event divided by the total number of possible outcomes. P(a) = (# of outcomes in a) / (# of possible outcomes) A probability is a number between 0 and 1. For any event a, 0 p(a) 1.

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