An obsolete 2400 bps modem uses QAM (see Problem 8.3.4) to transmit one of 16 symbols, s0,...,s15, every 1/600 seconds. When signal si is transmitted, the receiver output is
![](https://test.transtutors.com/qimg/27c959e6-00c8-442f-a449-f8c657e1730f.png)
(a) Sketch the acceptance sets based on the receiver outputs X1, X2
(b) Let Hi be the event that symbol si was transmitted and let C be the event that the correct symbol is decoded. What is P[C|H1]?
(c) Argue that P[C] ≥ P[C|H1].