Question: Consider a classification problem with four classes C1, . . . , C4 with prior probabilities p1 = 0.2, p2 = 0.2, p3 = 0.3,

Consider a classification problem with four classes C1, . . . , C4 with prior probabilities

p1 = 0.2, p2 = 0.2, p3 = 0.3, p4 = 0.3

and densities f1, . . . f4. Suppose you are given a data point x such that

f1(x) = 0.3, f2(x) = .36, f3(x) = 0.8, f4(x) = 0.7.

Determine the posterior probabilities. To which class would you assign x?

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