Problem 3: Let X1, X2, . . . , Xn be distributed according to the probability density function: 2 p($,9) 6:1(0 0. (i) Verify that

Problem 3: Let X1, X2, . . . , Xn be distributed according to the probability density function: 2 p($,9) 6:1(0<:cg where the parameter> 0. (i) Verify that p(a:, 6) is a valid density. (ii) Find the MLE of 6. (iii) Show that the set [X (n) / (1 001/2\