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

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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 1 (32.11 KiB) Viewed 57 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) = e-/2, x>0 b. c. f(x) = (10+2m), >0 d. (10)510 1.5 F(5)(3)(5+5)³, >0 e. f(x)=√e-²/4 7/2 f. f(x) = (x >0 g. f(x)=x³e-5, x>0 r(4) f(x)=√10#T(5)(1+1²/10)11/2