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10. [3 points] Consider a Slotted-ALOHA system with N nodes. Each node transmits a packet in a slot with probability 0.3. Find the following. (5

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10. [3 points] Consider a Slotted-ALOHA system with N nodes. Each node transmits a packet in a slot with probability 0.3. Find the following. (5 points) a) The probability that there is a successful transmission. b) The probability that a slot is idle. c) The probability of a collision. d) The probability that 3 consecutive slots would be idle (i.e., no transmissions) e) The probability that at least 5 (assuming N> 5) nodes transmit in a slot. 10. [3 points] Consider a Slotted-ALOHA system with N nodes. Each node transmits a packet in a slot with probability 0.3. Find the following. (5 points) a) The probability that there is a successful transmission. b) The probability that a slot is idle. c) The probability of a collision. d) The probability that 3 consecutive slots would be idle (i.e., no transmissions) e) The probability that at least 5 (assuming N> 5) nodes transmit in a slot

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