Probability

1. The simplest error detection scheme used in data communication is parity-checking. Usually messagessent consist of characters, each character consists of a number of bits (a bit is the smallestunit of information and is either 1 or 0). In parity-checking, a 1 or 0 is appended to the end of eachcharacter at the transmitter to make the total number of 1’s even. The receiver checks the number of1’s in every character received, and if the result is odd it signals an error. Suppose that each bit isreceived correctly with probabaility 0.999, independently of other bits. What is the probability thata 7-bit character is received in error, but the error is not detected by the parity check?