In the sample material from Lesson 3 of Patterns in Chance, students construct waiting-time or geometric distributions theoretically. In Lessons 1 and 2, students revisit waiting-time distributions which were first developed in Course 1, Unit 7, and develop the Multiplication Rule for Independent Events. Students discover the formula for the expected value of a waiting-time distribution in Lesson 4.
Throughout the curriculum, interesting problem contexts serve as the foundation for instruction. As lessons unfold around these problem situations, classroom instruction tends to follow a common pattern as elaborated under Instructional Design.
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In Course 3, students will continue their study of this strand in Unit 2, Modeling Public Opinion and Unit 5 Patterns in Variation. In Unit 2, students study survey methods, sampling, sampling distributions, relationships between a sample and a population, confidence intervals, and margin of error. In Unit 5, students extend their understanding of measurement of variation, use the normal distribution as a model of variation, and are introduced to probability and statistical inference involved in the control charts used in industry for statistical process control.
In Course 4, students extend their understanding of the binomial distribution and how the binomial distribution is used in statistical inference to test a single proportion and to compare two treatments in an experiment.
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