BY USING THE METHOD OF FALSE POSITION FIND THE FOURTH ROOT OF THE OLL PARTS OF THIS THEORM

. Suppose that the mean vector and the covariance matrix of the three dimensional normal random vector X are 3 2 1 3 y, = 4 and A = 1 4 2 , 3 3 2 8 respectively. Determine the distribution of X1 2X 2 + 3X 3. . The random variables X and Y are independent and N (0, 1)distributed. Determine (a)E(X l X > Y); (b)E(X+Y | X > Y). . Suppose that go is a characteristic function, and let p E (0,1). Show that ~ 1' 9"\") Z 1 (1 p')