Make the same assumptions as Exercise 2.9.
(a) If there is one or more retransmissions under an ARQ protocol, what is the probability that the channel is in the bad state?
(b) As a test of the sensitivity of the result in (a), plot the a posteriori probability of being in the bad state as a function of the a priori probability of being in the bad state.
A wireless channel may be modeled as being in one of two states, good and bad, with probabilities 0.95 and 0.05, respectively. When in the bad state, the probability of a bit being in error is 0.01 and in the good, 0.00001. If an error is observed, what is the probability that the channel is in the bad state?
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