Answer the following question: Please show all your work. There is a system that transmits characters. Each character consists of n information bits (n is an even number) and 1 parity bit. Assume that bit errors are occurring randomly and are uncorrelated with each other. Determine the probability a character is damaged (one or more bits are in error). The parity check used per character is even. Answer the following question: Please show all your work. There is a system that transmits characters. Each character consists of n information bits (n is an even number) and 1 parity bit. Assume that bit errors are occurring randomly and are uncorrelated with each other. Determine the probability a character is damaged (one or more bits are in error). The parity check used per character is even