A probability distribution on the real line is a mixture of two classes +1 and−1 with density N(1,2) (normal distribution with m
A probability distribution on the real line is a mixture of two classes +1 and−1 with density N(1,2) (normal distribution with mean1 and variance 2) andN(3,1), with prior probabilities (probability of eachclass) 0.4 and 0.6 respectively. What is the Bayes decision rule? Give anestimate for the Bayes risk.
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Answer:
Step-by-step explanation:
The angle formed by and the angle marked as
are co-interior angles and therefore must be supplementary (add up to 180 degrees).
Therefore, we have:
