A communication system transmits a bit (0 or 1) of information by transmitting a signal on three different frequencies. The received signal strength is different on the three frequencies and is described as follows. Ro = Bso+no R = Bs+m R2 = Bs2+12 Here Ro, R1, R2 represent the received signal on the three frequencies. The random variable B is either +1 or -1 depending on the data bit. For example if the information bit is 0 then B = +1 whereas if the information bit is 1 then B = -1. The variables no, 71, 72, represent random (Gaussian or normal) noise with mean O and variance 4. The signal levels are so = 1, 8 = 2, 82 = 4. The receiver is going to linearly combine Ro, R, and R2 to make a decision. That is, the receiver forms Rao Ro+aR + a2R2. Then the receiver compares R with 0. The receiver's decision for B is called B. If R 0 the receiver decides that B = +1. If R