Let X₁, X2, X3, Xn be a random sample of n from population X distributed with the foll probability density function: f(x;0)=√√2π0 0, -201 if -∞0 < x < 00 otherwise Find the parameter space of 0. Find the maximum likelihood estimator of 0. Check whether or not the estimator obtained in (ii) is unbiased. Find the Fisher information in this sample of size n about the parameter 0.

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