Assume that n nodes share a medium using the slotted ALOHA protocol, but at every time slot, each node attempts to send a packet with a different probability. More specifically, we assume that node i attempts to send a packet with probability pi [0, 1] at every time slot for i = 1, , n.

What is the probability Pi P[node i sends a packet successfully] that node i sends a packet successfully at a given time slot? What is the ratio P1 : P2 : P3 : : Pn? This ratio characterizes the share of medium among the nodes. Is the share of medium proportional to the probabilities pi that nodes attempt to send packets, i.e., is the ratio P1 : P2 : P3 : : Pn equal to p1 : p2 : p3 : : pn?

Assume that n nodes share a medium using the slotted ALOHA protocol, but at every time slot, each node attempts to send a packet with a different probability. More specifically, we assume that node i attempts to send a packet with probability p_i elementof [0, 1] at every time slot for i = 1, ..., n. What is the probability P_i P[node i sends a packet successfully] that node i sends a packet successfully at a given time slot? What is the ratio P_1: P_2: P_3: ...: P_n? This ratio characterizes the share of medium among the nodes. Is the share of medium proportional to the probabilities p_i that nodes attempt to send packets, i.e., is the ratio P_1: P_2: P_3: ...: P_n equal to p_1: p_2: p_3: ...: p_n