2. Data packets containing 100 bits are transmitted over a communication link. A transmitted bit is received in error (either a 0 sent is mistaken for a 1, or a 1 sent is mistaken for a 0) with probability p = 0.01, independent of the correctness of any other bit. The packet has been coded in such a way that if three or fewer bits are received in error, then those bits can be corrected. If more than three bits are received in error, then the packet is decoded with errors. a. Let Ex.100-x denote the event that a received packet has k bits in error and 100 -k correctly decoded bits. What is P[Ex.100-k] for k = 0, 1, 2, 3? b. Let C denote the event that packet is decoded correctly. What is P[C]?

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