Question

U~Unif[-2,5] and $Y=g(U)$ $=U^2$

1 What are the density of Y and fy(y)?

2 What is (use derived density)

3 What is $E[U^2]$ (use the density of U and need to match part 2)

Answer 1

ء (v)2 = لاله (3 ,2 - af 08 (ع) 32 ر-) ae ز 3 1 2 O s otherwise (( و رغ) ze 5 و ما ۰۹ otherwise 2 . (725)ی " = (ن)<)2 >"0)؟ ى (- (43274 0 2 da, 1 -ry ما . da ry Test که 2

(7) 2G (9) dG dy 설 [S) 25 ). 55 2. L (7) - y t day S - 2. 2. 닝 2 볼 2, s92 22 2) 0 '] 59 F 02 dy 2 2. aylady 눅 ) 2 5 Iy N) 를 / 2 15 월 음 (2) A 15