Two questions about Bayes' decision ruleAbout first one, am I right?The second one is the short answer 1Which of the following options are correct under Bayes' decision rule for minimum error?A When P(x|w1) = P(x|w2), if P(w1) > P(w2), then x E w1; otherwise, x E w2.B When P(x|w1) = P(x|w2), if P(w1) > P(w2), then x € w2; otherwise, x € w1.C When P(w1) = P(w2), if P(x|w1) > P(w2), then x € w2; otherwise, x € w1.D When P(w1) = P(w2), if P(x|w1) > P(w2), then x E w1; otherwise, x € w2. 1If only priori probabilities of each class (that is, P(wi)) are known, what is the Bayes' dicision rule for minimum error?

Given information: It is given that only the priori probabilities of each class are known.

Answered: If only priori probabilities of each…

If only priori probabilities of each class (that is, P(w;)) are known, what is the Bayes' dicision rule for minimum error?

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Question

Two questions about Bayes' decision rule

About first one, am I right?

The second one is the short answer

1
Which of the following options are correct under Bayes' decision rule for minimum error?
A When P(x|w1) = P(x|w2), if P(w1) > P(w2), then x E w1; otherwise, x E w2.
B When P(x|w1) = P(x|w2), if P(w1) > P(w2), then x € w2; otherwise, x € w1.
C When P(w1) = P(w2), if P(x|w1) > P(w2), then x € w2; otherwise, x € w1.
D When P(w1) = P(w2), if P(x|w1) > P(w2), then x E w1; otherwise, x € w2.

1
If only priori probabilities of each class (that is, P(wi)) are known, what is the Bayes' dicision rule for minimum error?

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