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For a problem where X has a pdf of 2/9(x+1) if -1<x<2 I for the pdf for Y=X2. The next question

is asking me to show that a transformation theorem remains valid if sets A1, A2... Ak contain X and use this to apply the extension to solve the pdf transformation I did before. A0=0, A1 = (-2,0), and A2 = (0,2). How do I apply this extension, do I just use a pdf of 0 for -2 to -1?Capture - help.PNG

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