Let X~ x²(10), Y~ N(0, 1) and Z~ x²(1) and X, Y, Z are independent. Which one of the following functions is the pdf of X

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Let X X 10 Y N 0 1 And Z X 1 And X Y Z Are Independent Which One Of The Following Functions Is The Pdf Of X 1 (20.91 KiB) Viewed 35 times

Let X~ x²(10), Y~ N(0, 1) and Z~ x²(1) and X, Y, Z are independent. Which one of the following functions is the pdf of X+Z+Y²? 10 a. f(x)=x³e-5, x>0 b. f(x) = 106 (10+2)6,0 c. f(x)=e-/2, x>0 d. f(x) = 27-2/2 T(8) 0 " r(10)5101.5 e. (5)1(5)(5+5), X>0 f. f(x) = T(H) /10ml (5)(1+12/10)11/2 g. 9. f(x)=√e-²/4