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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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(b) Assume that we are tasked with training a Naive Bayes classifier over data instances with 100 dimensional
features and binary labels, that is, P(y =0) = P(y = 1) = 0.5. Moreover, all the features are binary valued,
and have the same conditional probabilities as follows:
P(x; = 1|y = 0) = a,
i = 1,..., 100
P(x; = 1|y = 1) = b,
i = 1,..., 100
where 0< a,b< 1. For an item with alternating feature values x = (x1 = 1,x2 = 0,x3 = 1,...,X100 = 0),
compute P(y = 1|x).

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