Probability Of Transmission Error Given R1
Forum Pre-University Math Help Forum Statistics Digital Communication Question - Conditional Probability Results 1 to 4 of 4 Thread: Digital Communication Question - Conditional Probability LinkBack LinkBack URL About LinkBacks Thread Tools Show Printable Version Subscribe to this Thread… Display Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Jan 31st 2010,10:27 AM #1 Hasan1 Junior Member Joined Dec 2007 Posts 27 Digital Communication Question - Conditional Probability A digital communications system consists of a transmitter and a reciever. During each short transmission interval the transmitter sends a signal which is to be interpreted by a zero, or it sends a different signal which is to be interpreted as a one. At the end of each interval the reciver makes the best guess at that was transmitted. Consider the events: T0 = {Transmitter sends 0} T1 = {Transmitter sends 1} R0 = {Receiver concludes that a 0 was sent} R1 = {Reciever concludes that a 1 was sent} Assume that P(R0|T0) = 0.99, P(R1|T1) = 0.98 and P(T1) = 0.5 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 What I really need to know is how to do a) I started off by calculating P(T0) = 1 - P(T1) then I wanted to use the formula P(T0|R1) = P(T0*R1)/P(R1) [* = intersect] I calculated the numerator as P(T0*R1) = P(T0)P(R1|T0) and P(R1|T0) = 1 - P(R0|T0) but how do I calculate P(R1) Follow Math Help Forum on Facebook and Google+ Jan 31st 2010,11:01 AM #2 Plato MHF Contributor Joined Aug 2006 Posts 20,328 Thanks 2240 Awards 1 Last edited by Plato; Jan 31st 2010 at 12:20 PM. Follow Math Help Forum on Facebook and Google+ Jan 31st 2010,11:36 AM #3 Hasan1 Junior Member Joined Dec 2007 Posts 27 I understand the first part of your equivalence but is this part a typo? Follow Math Help Forum on Facebook and Google+ Jan 31st 2010,12:19 PM #4 Plato MHF Contributor Joined Aug 2006 Posts 20,328 Thanks 2240 Awards 1 Originally Posted by Hasan1 I understand the first part of your equivalence but is this part a typo? Indeed there was.
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