P5 (10 pts) Consider a slotted ALOHA system Suppose there are 2N nodes sharing the channel These nodes are divided in two groups with N nodes each The probability that a node in group 1 and group 2 have a packet to transmit in a time slot are p and 2p, respectively Assume p 0 5 and each node always has packets to send a What is the system level efficiency (i e , the average number of packets that can be sent out successfully through this channel in a slot) Your answer should be a formula in N and p (5 pts) b When group 2 gets a throughput that is three times higher than group 1's, what is the corresponding numerical value of p (5 pts)

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P5. (10 pts) Consider a slotted ALOHA system. Suppose there are 2N nodes sharing the channel. These nodes are divided in two groups with

P5. (10 pts) Consider a slotted ALOHA system. Suppose there are 2N nodes sharing the channel. These nodes are divided in two groups with N nodes each. The probability that a node in group 1 and group 2 have a packet to transmit in a time slot are p and 2p, respectively. Assume p

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