Question: Problem 2 (Maximum Entropy Principle). Let X be an absolutely continuous random variable defined on 1. The maximum entropy principle attempts to find the probability

Problem 2 (Maximum Entropy Principle). Let X be an absolutely continuous

Problem 2 (Maximum Entropy Principle). Let X be an absolutely continuous random variable defined on 1. The maximum entropy principle attempts to find the probability density function 0(x) that maximizes the entropy H(X) = -5,662) n($(x)dt, Let 12 = [a, b]. Use Euler-Lagrange equation to show that the uniform distribution 1 0*(2) a

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