$X_i\sim^{iid}N(0,1);\quad i=1,2$
so $x_i$ ranges from $-\infty$ to $\infty$.
Now $Y=X_1^2+X_2^2$
so $y$ ranges from $0$ to $\infty$.
But how $Z=X_2$ is ranges from ($-\sqrt y$) to $\sqrt y$ ?
$X_i\sim^{iid}N(0,1);\quad i=1,2$
so $x_i$ ranges from $-\infty$ to $\infty$.
Now $Y=X_1^2+X_2^2$
so $y$ ranges from $0$ to $\infty$.
But how $Z=X_2$ is ranges from ($-\sqrt y$) to $\sqrt y$ ?
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