1
GATE ECE 2014 Set 4
Numerical
+1
-0
Let $$X$$ be a zero mean unit variance Gaussian random variable. $$E\left[ {\left| X \right|} \right]$$ is equal to ______
Your input ____
2
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 of 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
3
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is
A
$$0.067$$
B
$$0.073$$
C
$$0.082$$
D
$$0.091$$
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$X$$ be a real - valued random variable with $$E\left[ X \right]$$ and $$E\left[ {{X^2}} \right]$$ denoting the mean values of $$X$$ and $${{X^2}}$$, respectively. The relation which always holds true is
A
$${\left( {E\left[ X \right]} \right)^2} > E\left[ {X{}^2} \right]$$
B
$$E\left[ {X{}^2} \right] \ge {\left( {E\left[ X \right]} \right)^2}$$
C
$$E\left[ {X{}^2} \right] = {\left( {E\left[ X \right]} \right)^2}$$
D
$$E\left[ {X{}^2} \right] > {\left( {E\left[ X \right]} \right)^2}$$
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