1 . A binary message* is transmitted as either O or 1 . The received signal is given by I = $ + Z. where ? is a normal RY having mean

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A binary message X is transmitted as either 0 or 1.

1 . A binary message* is transmitted as either O or 1 . The received signal " is given byI" = $ + Z.where ? is a normal RY having mean " _ O and variance = = = 0.25. What is the probability of Erroneousdecoding if a I is transmitted [i.e . in this instance* = ] ] and the receiver operates as follows :"declares * = 0if * = 0.5 .declares & = ]if * = 0.5 ?Here*' is the receiver's decision on* . [ Hint : Read Example 3. 8 of BETT .