Network forensic analysis. A network forensic analyst is responsible for identifying worms, viruses, and infected nodes in the computer network. A new methodology for finding patterns in data that signify infections was investigated in IEEE Transactions on Information Forensics and Security (May 2013). The method uses multiple filters to check strings of information. For this exercise, consider a data string of length 4 bytes (positions), where each byte is either a 0 or a 1 (e.g., 0010 ). Also, consider two possible strings, named and In a simple single filter system, the probability that and differ in any one of the bytes is .5. Derive a formula for the probability that the two strings differ on exactly of the 4 bytes. Do you recognize this probability distribution?