Anybody can tell me why this equation is correct?
![\sum^{n}_{s=k} {n\choose s}\textit{P}\{X(t)\geq j\}^{s}\textit{P}\{X(t) < j\}^{n-s}=\sum^{n}_{s=k} (-1)^{s-k} {n\choose s}{s-1\choose k-1} \textit{P}\{X(t)\geq j\}^{s}]( "\sum^{n}_{s=k} {n\choose s}\textit{P}\{X(t)\geq j\}^{s}\textit{P}\{X(t) < j\}^{n-s}=\sum^{n}_{s=k} (-1)^{s-k} {n\choose s}{s-1\choose k-1} \textit{P}\{X(t)\geq j\}^{s}")
Regards,
Regards,
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