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5067 heads 10000 1 m316 chapter 10 dr berg

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Unformatted text preview: the proportion of heads in tossing a coin 1 to 5000 times. Randomness and Probability We call a phenomenon random if individual outcomes are uncertain but there is a regular distribution in a large number of repetitions. The probability of any outcome of a random phenomenon is the proportion of times the outcome would occur in a very long series of repetitions. Exercise Roll a fair sixsided die 36 times. How many 6s did you expect and how many did you actually get? Probability Models We study real world phenomenon by creating a model with welldefined mathematical properties. We need some terminology for probability models. 2 M316 Chapter 10 Dr. Berg Definition The sample space S of a random phenomenon is the set of all possible outcomes. An event is an outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space. A probability model is a mathematical description of a random phenomenon consisting of two parts: as maple space S and a way of assigning...
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