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## Main Question or Discussion Point

Hello,

I have this equation:

[tex]\int_{-\infty}^{\gamma}f_X(x)\,dx+\int_{\gamma}^{\infty}F_Y(x-\gamma)\,f_X(x)\,dx[/tex]

where [tex]f_X(x)[/tex] and [tex]F_Y(y)[/tex] are the PDF and CDF of the randome variables X and Y, respectively.

Now the question is: can I write the above equation in the form:

[tex]1-\int_{0}^{\infty}(...)[/tex]

Regards

I have this equation:

[tex]\int_{-\infty}^{\gamma}f_X(x)\,dx+\int_{\gamma}^{\infty}F_Y(x-\gamma)\,f_X(x)\,dx[/tex]

where [tex]f_X(x)[/tex] and [tex]F_Y(y)[/tex] are the PDF and CDF of the randome variables X and Y, respectively.

Now the question is: can I write the above equation in the form:

[tex]1-\int_{0}^{\infty}(...)[/tex]

Regards