Question: In a certain communication system, bits are encoded into blocks of length 128 bits. Error correction techniques are used such that the block will be

In a certain communication system, bits are encoded into blocks of length 128 bits. Error correction techniques are used such that the block will be decoded correctly as long as no more than 7 of the 128 bits are received in error. We observe that 2% of our blocks are decoded incorrectly. From Markov’s inequality, what can we say about the average number of bit errors that occur in each 128 bit block?

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