5.3 Simulations

# 5.3 Simulations - AP Statistics 5.3 Simulating Experiments...

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AP Statistics Date _________________________ 5.3 Simulating Experiments The imitation of chance behavior, based on a model that accurately reflects the experiment under consideration, is called a simulation . We can use random digits from a table, a graphing calculator, or computer software to simulate many repetitions. The proportion of repetitions on which a result occurs will eventually be close to its true likelihood, so simulation can give good estimates of probabilities. 1. Assigning digits to represent outcomes: Describe how table B of random digits could be used to establish a correspondence for each of the following situations. a) Tossing a coin b) Choosing one person at random from a group in which 60% are employed c) Choosing one person at random from a group in which 76% are full-time students d) Guessing the birthday of a randomly selected classmate 2. Suppose we are interested in the likelihood of a couple’s having a girl among their first four children. Use random digits to simulate and then estimate this likelihood.

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