Question 4 [16] Let X1, X2, X3. .... Xn be a random sample from a distribution with probability density function: f( x10 ) = 0 e (x -0) ifx 20. otherwise. excense 3.5 3 Let In = min(X1, X2, ..., Xn). Given: T, is a complete sufficient statistic for 0. (a) Prove or disprove that the probability density function of To is a terase 4. 12. ne "(1-0) ift > 0, ECP 8(110) = 0 - otherwise. Exer 4.5. 2. 81 A(b) Prove or disprove that E(I,) = 0 + - w 3 G n (c) Find a minimum variance unbiased estimator of 0. Justify your answer: Total: [101]