1
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be
A
Poisson
B
Gaussian
C
Exponential
D
Gamma
2
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
3
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
The power spectral density of a real process X(t) for positive frequencies is shown below. The value of $$E\,\left[ {{X^2}\,(t)} \right]$$ and $$E\,\left[ {X\,(t)} \right]$$, respectively, are GATE ECE 2012 Communications - Random Signals and Noise Question 15 English
A
$$6000/\,\pi ,\,0$$
B
$$6400/\,\pi ,\,0$$
C
$$\,6400/\,\pi ,\,\,20\,\left( {\pi \sqrt 2 } \right)$$
D
$$\,6000/\,\pi ,\,\,20\,\left( {\pi \sqrt 2 } \right)$$
4
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
$${E^2}\left[ X \right]$$
GATE ECE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12