In Section 5.3, we provided an outline of the derivation of the efficiency of slotted ALOHA, in this problem we'll complete the derivation,
a, Recall that when there are N active nodes, the efficiency of slotted ALOHA is Np( 1- p)N-I. Find the value of p that maximizes this expression.
Using the value of p found in (a), find the efficiency of slotted ALOHA hy letting N approach infinity. Hint: (I - I/Nt approaches lie as N approaches infinity.