Consider X~ Normal(7 , 9) independent of Y~ Normal(5,4). X1, X2, X3 are i.i.d. random variables from X & Y1, Y2 are i.i.d. random variables from Y. Obtain the probability that [(X1 +X2 + X3) /3] exceeds [(Y1 + Y2) /2] by more than 2. Y~ Normal (5, 4): this means E(Y) =5 and V(Y)= 4. O 0.5636 O 0.1562 O 0.9500 O 0.6827 O 0.5000