In Example 5.2-6, verify that the given transformation

QUESTION:

In Example 5.2-6, verify that the given transformation maps \(\left\{\left(x_{1}, x_{2}\right): 0<x_{1}<1,0<x_{2}<1\right\}\) onto \(\left\{\left(z_{1}, z_{2}\right):-\infty<z_{1}<\infty,-\infty<z_{2}<\infty\right\}\), except for a set of points that has probability 0 . HINT: What is the image of vertical line segments? What is the image of horizontal line segments?

Equation Transcription:

Text Transcription:

{(x_1,x_2):0<x_1<1,0<x_2<1}  

{(z_1,z_2):-infinity <z_1<infinity ,-infinity <z_2<infinity}