Formula for probability that message is correctly received

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Question: Suppose a single bit is transmitted by repeating it n times and the message is interpreted by majority decoding. For example, for n = 5, if the message received is 10010, it is concluded that a 0 was sent. Assuming n is odd and each bit in the message is transmitted correctly with probability p, independently of the other bits, find a formula for the probability that the message is correctly received.

Reference no: EM131809984

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