Please do by hand. Thanks in advance. 5. Let X1 and X2 have joint pdf f(x1,...

Question

Question

Please do by hand. Thanks in advance.

5. Let X1 and X2 have joint pdf f(x1, x2) = 4xı, for 0 < x < x2 < l; and 0 otherwise. Find the pdf of Y = X/X2. (Hint: First

Answer 1

Answer #1

The solution is given below in handwritten form-

1 X and Xe have joint PDF a f(x,- x) = 4*, ; 0<x< < Vas! = 0 ; otherwise. Now, let Y, = Xitz and Y₂ = x, in Y, = Yz X₂ of jac

Now 0(x, (V x2 OCY₂ CVT 12 » o< Jiz<spi =) CYCY. range of . The conditional 0 (Y₂CY.. ob Y, e is, : PDF The f(3, 32) 22 = 44

Answer 2

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