Consider a digital communication with the binary channel shown below. For i-0,1, let A be the event that the symbol after the channel is i and let B, be the event that the symbol before the channel is i. Assume that P(B) = 0.3, P(AeBo) = 0.8, P(AB) = 0.2; P(Ae|B1) = 0.1, P(AB) 0.9. P(B) =0.7; Justify all your answers. (a) Find P(Ao). (b) Find P(B|Ao). (c) An error is said to occur when the symbol after the channel differs from the symbol before the channel. Find the probability of error, P(E|B), given Bg. V (d) Find the average probability of error, P(E).