Biology 2244A/B Chapter Notes - Chapter 3: Sample Space, Probability Distribution, Random Variable

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Chapter 9: a probability model with a sample space make up of a list of individual outcomes is called discrete, to assign probabilities in a discrete model, list the probabilities of all the individual outcomes. These probabilities must be numbers between 0 and 1 and must have sum 1. the probability of any event is the sum of the probabilities of the outcomes making up the event. As in the case of selecting a random digit, we would like all possible outcomes to be equally likely. But we cannot assign probabilities to each individual value of y and then add them, because there are infinitely many possible values: we use a new way of assigning probabilities directly to events as areas under a density curve. Any density curve has area exactly 1 underneath it, corresponding to total probability 1: density curve, a density curve is a curve that:

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