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\begin{eqnarray*} \sum _{x=n_1}^{n} \binom {n}{x} P_{\mi{L}}^{~ x} (1 - P_{\mi{L}})^{~ n-x} & = & \alpha /2 \\[0.1in] \sum _{x=0}^{n_1} \binom {n}{x} P_{\mi{U}}^{~ x} (1 - P_{\mi{U}})^{~ n-x} & = & \alpha /2 \end{eqnarray*}