1
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
$${E^2}\left[ X \right]$$
2
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
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The amplitude spectrum of a Gaussian pulse is
A
uniform
B
a sine function
C
Gaussian
D
an impulse function
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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