Question: 3. Consider four nodes, A, B, C, and D that use the slotted ALOHA protocol to contend for a channel. Assume that each of

3. Consider four nodes, A, B, C, and D that use the

3. Consider four nodes, A, B, C, and D that use the slotted ALOHA protocol to contend for a channel. Assume that each of nodes A, B, and C attempts to transmit in each slot with probability p, and assume that node D attempts to transmit in each slot with probability 2p. That is, each node always has a frame to send, and the node transmits with the given probability for a fresh frame as well as for a frame that has already suffered a collision. (a) What is the probability for a given slot that node D successfully transmits a frame? (Note: In any given slot, D may or may not attempt to transmit.) (b) What is the probability for a given slot that node C successfully transmits a frame? (c) What is the probability for a given slot that no node attempts to transmit a frame?

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