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Communications
Analog Communication Systems
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Random Signals and Noise
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Fundamentals of Information Theory
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Noise In Digital Communication
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1
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
Two independent random variable X and Y are uniformly distributed in the interval [ - 1, 1]. The probability that max [X, Y] is less than 1/2 is
A
3/4
B
9/16
C
1/4
D
2/3
2
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
If E denotes expectation, the variance of a random variable X is given by
A
$$E\,\left[ {{X^2}} \right] - \,{E^2}\left[ X \right]$$
B
$$E\,\left[ {{X^2}} \right] + \,{E^2}\left[ X \right]$$
C
$$E\,\left[ {{X^2}} \right]$$
D
$${E^2}\left[ X \right]$$
3
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}/18]$$.

The probability of the event {X = 4} is

A
1/2
B
$$1/\left( {3\sqrt {2\,\pi } } \right)$$
C
0
D
1/4
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The ACF of a rectangular pulse of duration T is
A
a rectangular pulse of duration T
B
a rectangular pulse of duration 2T
C
a triangular pulse of duration T
D
a triangular pulse of duration 2T
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Questions Asked from Marks 1
GATE ECE 2024 (1) GATE ECE 2023 (1) GATE ECE 2022 (1) GATE ECE 2017 Set 2 (1) GATE ECE 2014 Set 4 (1) GATE ECE 2012 (2) GATE ECE 2007 (1) GATE ECE 2001 (1) GATE ECE 1998 (3) GATE ECE 1997 (1) GATE ECE 1995 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics