1
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Suppose $$A$$ & $$B$$ are two independent events with probabilities $$P\left( A \right) \ne 0$$ and $$P\left( B \right) \ne 0.$$ Let $$\overrightarrow A $$ & $$\overrightarrow B $$ be their complements. Which of the following statements is FALSE?
A
$$P\left( {A \cap B} \right) = P\left( A \right)P\left( B \right)$$
B
$$P\left( {A/B} \right) = P\left( A \right)$$
C
$$P\left( {A \cup B} \right) = P\left( A \right) + P\left( B \right)$$
D
$$P\left( {\overrightarrow A \cap \overrightarrow B } \right) = P\left( {\overrightarrow A } \right).P\left( {\overrightarrow B } \right)$$
2
GATE ECE 2015 Set 3
Numerical
+1
-0
The variance of the random variable $$X$$ with probability density function $$\,f\left( x \right) = {1 \over 2}\left| x \right|{e^{ - \left| x \right|}}\,\,$$ is ___________.
Your input ____
3
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 ____
4
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
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12