Question: PROBLEM 1 The most simple error-correction code is a repetition code. Suppose | want to send you a bit either a 0, or a 1.

PROBLEM 1 The most simple error-correction code is a repetition code. Suppose | want to send you a bit either a 0, or a 1. But there is a probability p that the bit will get flipped when | transmit it. So | instead send 2k + 1 copies of the bit, and you use the majority response for the transmitted bit. So if you receive 00110, you would assume | sent a 0. Suppose each bit is flipped independently with probability p = 0.02. Find the smallest value of k so that you end with an erroneous bit with probability less than 1 in a million. Show your work

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