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At a certain time 1000 packets arrives at a node in the network. The probability that out of these 1000 at lest one packet is

At a certain time 1000 packets arrives at a node in the network. The probability that out of these 1000 at lest one packet is corrupted is 0.1 and the probability that there is at least 2 packet corrupted is 0.05. Find the probability in each of the following case: (a) No packet is corrupted (b) Exactly one packet is corrupted (c) At most one packet is corrupted

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