Question: kindly answer shortly 3. Let X = (X1. X .... An] be a random sample from the probability distribution with probability density function: 1(z,0)- 201/1)

kindly answer shortly 3. Let X = (X1. X .... An]

kindly answer shortly

3. Let X = (X1. X .... An] be a random sample from the probability distribution with probability density function: 1(z,0)- 201/1) for $ 20 otherwise. (a) Find a sufficient statistic for 0. (b) Find the maximum likelihood estimator of 0. (c) Find a pivotal function of the maximum likelihood estimator found in (b) (d) Use the pivotal function obtained in (c) to construct a 100(1 - 0)% confidence interval for 8

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