Consider a random sample X1, . . . , Xn from the uniform distribution U(−θ, θ) with parameter θ > 0  (1) Find the maximum likelihood estimation of θ. (2) Find the maximum likelihood estimation of the variance of the population distribution (you can use, without proof, what the mean and the variance of the uniform distribution are).

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Consider a random sample X1, . . . , Xn from the uniform distribution U(−θ, θ) with parameter θ > 0 
(1) Find the maximum likelihood estimation of θ.
(2) Find the maximum likelihood estimation of the variance of the population distribution (you can use, without proof, what the mean and the variance of the uniform distribution are).

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