In Section 5.3, we provided an outline of the derivation of the efficiency ofslotted

Chapter 5, Problem P8

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In Section 5.3, we provided an outline of the derivation of the efficiency ofslotted ALOHA. In this problem well complete the derivation.a. Recall that when there are N active nodes, the efficiency of slotted ALOHAis Np(1 p)N1. Find the value of p that maximizes this expression.b. Using the value of p found in (a), find the efficiency of slotted ALOHA byletting N approach infinity. Hint: (1 1/N)N approaches 1/e as Napproaches infinity.

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