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BNK-rand.ipynb

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@@ -154,6 +154,8 @@
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"$$E[Y] = E\\left[\\sum_{i=1}^{N} Y_i\\right] = \\sum_{i=1}^N E[Y_i] = N\\cdot Pr[B]\n",
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"= N\\left(\\sum_{P=0}^{L} q(P)\\cdot {L \\choose P}(M/N)^P(1-M/N)^{L-P}\\right).$$\n",
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"\n",
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"Note that the second step holds because of the linearity of expectation.\n",
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"\n",
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"#### Let's see the numbers\n",
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"\n",
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"We will plug in, again, $N=27$ and $M=5$."

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