- A computer communication channel transmits words of $n$ bits using an error-correcting code which is capable of correcting errors in up to $k$ bits. Here each bit is either a $0$ or a $1$. Assume each bit is transmitted correctly with probability $p$ and incorrectly with probability $q$ independently of all other bits.
(a) Find a formula for the probability that a word is correctly transmitted.
(b) Calculate the probability of correct transmission for $n = 8$, $k = 2$, and $p = 0:01$.