1
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For the function $$\,f\left( x \right) = a + bx,0 \le x \le 1,\,\,$$ to be a valid probability density function, which one of the following statements is correct?
2
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
If $$f(x)$$ and $$g(x)$$ are two probability density functions,
$$$f\left( x \right) = \left\{ {\matrix{
{{x \over a} + 1} & : & { - a \le x < 0} \cr
{ - {x \over a} + 1} & : & {0 \le x \le a} \cr
0 & : & {otherwise} \cr
} } \right.$$$
$$$g\left( x \right) = \left\{ {\matrix{
{ - {x \over a}} & : & { - a \le x < 0} \cr
{{x \over a}} & : & {0 \le x \le a} \cr
0 & : & {otherwise} \cr
} } \right.$$$
Which of the following statements is true?
3
GATE CE 2015 Set 2
Numerical
+2
-0
The probability density function of a random variable, $$x$$ is
$$$\matrix{
{f\left( x \right) = {x \over 4}\left( {4 - {x^2}} \right)} & {for\,\,0 \le x \le 2 = 0} \cr
{ = 0} & {otherwise} \cr
} $$$
The mean, $${\mu _x}$$ of the random variable is __________.
The mean, $${\mu _x}$$ of the random variable is __________.
Your input ____
4
GATE CE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Four cards are randomly selected from a pack of $$52$$ cards. If the first two cards are kings, what is the probability that the third card is a king?
Questions Asked from Probability and Statistics (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude