What is the bayes decision

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Suppose that we have an observable that can take only two values, X1 and X2, for the situation in Exercise 11.5.7. The distribution of depends on the states of nature and is as follows:

 

θ1

θ2

θ3

X1

0.1

0.5

0.6

X2

0.9

0.5

0.4

That is, P (X x1|θ1= 0.1 or P (X x2|θ3= 0.4, and so  forth.

Suppose you observe X1; what is the updated prior? What is the Bayes decision?

Reference no: EM13965277

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