Amessage consists of a string of bits (0s and 1s). due to noise in the channel, each bit has probability 0.2 of being reversed (i. e., a 1 will be changed to a 0 or a 0 will be changed to a 1). to improve accuracy of the communication, each bit is sent three times, so, for example, 0 is sent as 000 and 1 is sent as 111. the receiver assigns the value of 0 if two or more of the bits are decoded as 0. the receiver assigns the value of 1 if two or more of the bits are decoded as 1. assume that each bit is reversed or not reversed independently of the others. a) a 0 is sent as(000). what is the probability that the receiver assigns the correct value of 0? b) assume that each bit is sent n times, where n is an odd number, and that the receiver assigns the value decoded in the majority of the bits. what is the number of n necessary so that the probability that the correct value is assigned is at least 0.95?