6.b. Let X1, X2, X3 be a random sample from a distribution. Hint: Derive the joint pdf of Y1, Y2, Y3 in parts (a) and (b). Also, note the following relation between th joint pdf of order statistics X (1), X (2),..., X (n) and the joint pdf of the corresponding random sample X1, X2, Xn f(x(1), x(2), x(n))=n! f(x1, x2,..., xn). - b. X f(x)=! axa-1 " да 0< x < 0, a >0. Prove or disprove that Y₁ = X(), Y₂ X(2) = X(2) X(3) the ith order statistic. , and Y3 = X(3) are independent, where X (i), i=1,2,3 denote