STAT151 Chapter Notes - Chapter 13: Bayes Estimator

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STAT151 Full Course Notes
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STAT151 Full Course Notes
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When we want the probability of an event from a conditional distribution, we write p(b|a) and say the probability of b given a . A probability that takes into account a given condition is called a conditional probability. To find the probability of the event b given the event a, we restrict our attention to the outcomes in a, then we find in what fraction of those outcomes b also occurred, giving us. 13. 2: interdependence o o o o o o o. The formula does not work if p(a) is 0; this is okay though because it means that a couldn"t possibly occur. An independent event occurs when if the outcome of one event does not influence that probability of the other. Conditional probability is the driving force behind the concept of independence. The probability of b is not the same conditional on a as it is conditional on ac.

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