A system with matched filter detection of equally likely BPSK signals s₁(t) = 2E √2 cos(wot) and s₂(t) = √2 cos(wot + 7), operates in AWGN with a received E. No of 2E T 6.8dB. Assume E{z(T)} = ±√Ē. a) Find the minimum probability of bit error, PB, for this signal set and E₁/No. b) If the detection threshold is ro = 0.1√√Ē, find PB. c) The threshold of ro = 0.1√E is optimum for a particular set of prior probabilities, p(s1) and p(S2). Find the values of these probabilities.