Problem 2 (40) Suppose there are two types of fishes, “big” and “small.” The length of a small fish is random and uniformly distributed in 1,4] and the length of a big fish is also random and uniformly distributed in [2,5]. Suppose the population ratio of the small fish to big fish is 1 to 1 a.) Find the optimal fish classifier, its decision regions and boundary, and the probability of error b.)
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