Question: Consider a binary hypothesis testing testing with the following rules: Ho: X ~ U[0, 1] H: X ~ U[0, 2] where U[a, b] denotes uniform

Consider a binary hypothesis testing testing with the following rules:

Ho: X ~ U[0, 1]

H: X ~ U[0, 2]

where U[a, b] denotes uniform distribution over the interval [a, b]. It is known that prior probabilities are po 0.3 and pi - 0.7. Also let C Consider a binary hypothesis testing testing with the following rules: Ho: X = C11 = 0 and C01 = 2C10 = 1. Then, determine the decision regions that minimize the expected risk.

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