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Q#1
Random Variable and Random Process
GATE EC 2019
NAT
+2 marks
-0 marks
A random variable X takes values and with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise N, so that the random variable at the channel output is . The noise N is independent of X, and is uniformly distributed over the interval. The receiver makes a decision.
Where the threshold is chosen so as to minimize the probability of error . The minimum probability of error, rounded off to 1 decimal place, is ____________.
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Browse Practice Questions by Chapters / Topics in Browse Practice Questions by Chapters / Topics in GATE Electronics and Communications
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| Topic | Questions | Attempted | Correct | |
|---|---|---|---|---|
| Network Analysis | 273 | 0 | 0 | |
| Electronic Devices | 69 | 0 | 0 | |
| Analog Electronics | 395 | 0 | 0 | |
| Digital Electronics | 351 | 0 | 0 | |
| Signals and Systems | 22 | 0 | 0 | |
| Control Systems | 224 | 0 | 0 | |
| Communication System | 200 | 0 | 0 | |
| EMFT - ECE | 14 | 0 | 0 | |
| Engineering Mathematics | 24 | 0 | 0 | |
| General Aptitude | 30 | 0 | 0 |