8. Assume that population X ~ N(0,1) and X,, X2, , X, represent a random sample from X , Let Y = (X, +X2 +X 3 ) + ( X , + X , + X.)2, + find a constant c = such that CY ~ x2 (2) .~ 9. Assume that population X ~ N(0,1) and X, X,, X,, X, represent a random V3X, sample from X , then Y = - V X , + X3 + X, 10. Assume that the population X ~ N(0,4), and X,, X,, , X, represent a random sample from X, then Y = 2 ( X ] + X 3 + X?) X+X, + +X