b) Let X₁, X₂, X, denote a random sample of size n from a distribution with probability density function: f(x; 0) = {0(1-x)-(1+0), Find the maximum likelihood estimator of 8. Derive fisher's information of 0. suppose that 5 independent observations were taken from such a distribution: i) ii) iii) 41354 and 0 = 0.7052 Find a 99% confidence interval for 0. x>0 elsewhere

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