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<center><math>\therefore \mathbb{E}(C) = K \left [ \underline{p} + \int_{\underline{p}}^{\overline{p}} (1-F(p))^n \; dp \right ] + cn\,</math></center>
To see this, first recall that <center><math>\mathbb{E}(X) = \int_{\underline{x}}^{\overline{x}} x f(x) dx<math>\,</math></center> 
\,</math>
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