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    Calculating Cauchy's PDF, using domain definition drawings of F_X/Y(z)

    Hi, I am trying to draw F (CDF of Cauchy) using X/Y relation for X,Y~N(0,1) iids and at some point very shortly I get lost. Especially because I don't know if I'm on the right direction. Could you direct me to the right way of solving this using the way I chose? So. Problem: Given X,Y~N(0,1)...