A digital communications system consists of a transmitter and a receiver During each short transmission interval the transmitter sends a signal which is to be interpreted as each interval, the receiver makes its best guess at what was transmitted consider the events:
T0 = {Transmitter seconds 0}, R0 = (Receiver concludes that a 0 was sent}
T1 = {Transmitter sends 1}, R1 = {Receiver concludes that a 1 was sent},
Assume that P(R0|T1) = 0.99, P(R1|T1) = 0.98, and P(T1) = 05 Find:
a) The probability of a transmission error given R1:
b) The overall probability of a transmission error.
c) Repeat a) and b) assuming P(T1) = 0.8 instead of 0.5.