Reference no: EM131796729

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.