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Feature X has a uniform distribution X ∼ U([a, b]) where 0 ≤ a < b...

Feature X has a uniform distribution X ∼ U([a, b]) where 0 ≤ a < b ≤ 1. Find maximum likelihood estimation and Bayesian estimation of X given a sample x1 = .8, x2 = .2, x3 = .9, x4 = .1. For Bayesian estimation, the prior probability density of a and b is P(a, b) = 2 where a <= b.

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