Suppose we are trying to send a series of bits through a channel with a bit error rate (i.e., each bit has probability of being received incorrectly). One way to improve the reliability is to use repetition code (3,1). For example, if we want to send the bits `011', we actually send `000111111'. The receiver looks at the bits in groups of three, and decodes each group to the bit that occurs most often in the group. What is the error rate by using repetition code (3,1) (i.e., the probability that a group of three repeated bits will be decoded incorrectly given )? How much does this repetition code improve reliability?