If [math]X[/math] and [math]Y[/math] are two independent discrete random variables such that [math]Xsimtext{Bin}(n,p)[/math] and [math]Ysimtext{Bin}(m,p)[/math]. How do I interpret [math]Z=X+Ysimtext{Bin}(m+n,p)[/math] as the sum of two functions [math]X[/math] and [math]Y[/math] ?
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If [math]X[/math] and [math]Y[/math] are two independent discrete random variables such that [math]Xsimtext{Bin}(n,p)[/math] and [math]Ysimtext{Bin}(m,p)[/math]. How do I interpret [math]Z=X+Ysimtext{Bin}(m+n,p)[/math] as the sum of two functions [math]X[/math] and [math]Y[/math] ?
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