b. A binary communication system transmits signals s(t) (i=1,2). The receiver test statistic z(T)=a+no, where the signal component a, is either a₁ =+1 or a₂=-1 and the noise component no is uniformly distributed, yielding the conditional density functions p(3/8) *64-1 for-0.2≤z ≤1.8 otherwise given by and *7-1½ for-1.8≤ Z ≤0.2 otherwise Find the probability of a bit error, P for the case of equally likely signaling and the use of an optimum decision threshold. (6 Marks)