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{"ops":[{"insert":"The simplest error detection scheme used in data communication is parity checking.\nUsually messages sent consist of characters, each character consisting of a number of\nbits (a bit is the smallest unit of information and is either 1 or 0). In parity checking,\na 1 or 0 is appended to the end of each character at the transmitter to make the total\nnumber of 1's even. The receiver checks the number of 1s in every character received,\nand if the result is odd it signals an error. Suppose that each bit is received correctly\nwith probability 0.999, independently of other bits. What is the probability that a\n7-bit character is received in error, but the error is not detected by the parity check?\n(Hint: use the Binomial distribution)\n"}]}
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