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Unformatted text preview: CS228 Problem Set #0 1 CS 228, Winter 2008 Problem Set #0: Probability Review This assignment is optional and will not count towards your final grade. It is still important that you look at it to see the level of background knowledge we expect you to have. Note: In the questions below, P is a joint probability distribution over the specified variables. For example, P ( A, B | C ) is a joint distribution over the variables A and B given the variable C . Thus, for every possible value of C , it specifies a probability distribution over all combinations of values for A and B . 1. After your yearly checkup, the doctor has bad news and good news. The bad news is that you tested positive for a serious disease, and that the test is 99% accurate (i.e. the probability of testing positive given that you have the disease is 0.99, as is the probability of testing negative given that you don’t have the disease). The good news is that this is a rare disease, striking only 1 in 10,000 people. Why is it good news that the disease isa rare disease, striking only 1 in 10,000 people....
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This document was uploaded on 03/03/2011.
- Winter '09