G. Let Y1, Y2, Y3 be 3 independent normal random variables where Y1 ~ N( 2, 9), Y2 ~ N(0,4) and Y3 ~ N( 1. 9), i. Find the distribution of W = 2Y1 + Y2 3Y3. ii. Find P( W> 0 ), where Wis the distribution found in (b). (8 marks)