Math Is Fun Forum

kindly help me for Stat Question

a.    A Binary Symmetric Channel (BSC) has binary (0 or 1) inputs and outputs. It outputs each bit correctly with probability 1 − p and incorrectly with probability p. Assume 0 and 1 are equally likely inputs. State the MAP (maximum a posteriori probability) and ML (maximum likelihood) decision rules for the BSC when p < ½. How are the decision rules different when p > ½.

b.    A Binary Erasure Channel (BEC) has binary inputs as with the BSC. However there are three possible outputs. Given an input of 0, the output is 0 with probability 1 − p1 and 2 with probability p1. Given an input of 1, the output is 1 with probability 1−p2 and 2 with probability p2. Assume 0 and 1 are equally likely inputs. State the MAP and ML decision rules for the BEC when p1 < p2 < ½. How are the decision rules different when p2 < p1 < ½.

Thanks a lot