section 6.3.2 outlines a derivation of the efficiency of slotted aloha. in this problem, we will examine a special case. suppose there are exactly three nodes, all with an infinite number of packets to transmit. let p be the probability that a node transmits in any slot. a) as a function of p, find the probability that there is a successful transmission in any given slot. (5 points) b) find the value of p that maximizes this expression. (5 p