section3 - Statistics 104 Spring 2011 Section #3 Topics for...

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Statistics 104 – Spring 2011 Section #3 Topics for Section Probability and Conditional Probability Unions, Intersections, Complements, Disjoint Events 2 x 2 Tables Independence of Events Bayes' Rule/Theorem Practice Problems 1. Kevin has a tomato garden which at times needs watering. On any given day, when it rains, Kevin will water his plants with probability zero (we don't need to water on rainy days). When it does not rain, Kevin waters his plants with probability 0.8. There is a 25% chance overall that it rains on any given day in the summer. We define the two events R : rains on any given day in the summer W : Kevin waters his plants on any given day in the summer a. Are the events R and W disjoint? Justify both by an intuitive argument and by explicit calculation. b. Are the events R and W independent? Justify both by an intuitive argument and by explicit calculation. c. Are the events W and R independent? Justify both by an intuitive argument and by explicit calculation. d. Given that Kevin did not water his plants on a particular day in the summer, what is the probability that it was actually a rainy day?
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2. When police set up sobriety checkpoints to check for drunks, drivers are stopped and asked a few brief questions. Based on the answers, the police officer judges whether the driver has been drinking. If the officer does not think that the driver has been drinking, he or she is released without a breath test. Otherwise, the driver is detained and administered a breathalyzer test for the presence of alcohol.
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This note was uploaded on 03/27/2012 for the course STATS 104 taught by Professor Michaelparzen during the Fall '11 term at Harvard.

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section3 - Statistics 104 Spring 2011 Section #3 Topics for...

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