Given a, b ∈ r s.t. a < b, consider the density p(x | θ = (a, b)) ∝ n 1 if a ≤ x ≤ b 0 otherwise . suppose that n samples x1, . . , xn are drawn i.i.d. from p(x|θ). what is the maximum likelihood estimate (mle) of θ given the samples?

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