Question: Assuming that a decision rule for a pattern recognition problem is as follows: decide 1 (with cost $10 for a wrong answer) when 0

Assuming that a decision rule for a pattern recognition problem is as follows:

decide 1 (with cost $10 for a wrong answer) when 0 ≤ x ≤ 1, and decide 0

(with cost $5 for a wrong answer) when 1 < x ≤ 2 and the feature space is

[0,2], with no cost for a right answer. What is the expression (in terms of P (0), P (1), p(x|0) and p(x|1)) for the average cost of that rule?

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