1
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 ____
2
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?
3
GATE CE 2015 Set 1
Numerical
+2
-0
Consider the following probability mass function (p.m.f) of a random variable $$X.$$
$$$p\left( {x,q} \right) = \left\{ {\matrix{
q & {if\,X = 0} \cr
{1 - q} & {if\,X = 1} \cr
0 & {otherwise} \cr
} } \right.$$$
$$q=0.4,$$ the variance of $$X$$ is _______.
$$q=0.4,$$ the variance of $$X$$ is _______.
Your input ____
4
GATE CE 2014 Set 1
Numerical
+2
-0
The probability density function of evaporation $$E$$ on any day during a year in a watershed is given by
$$$f\left( E \right) = \left\{ {\matrix{
{{1 \over 5}} & {0 \le E \le 5\,mm/day} \cr
0 & {otherwise} \cr
} } \right.$$$
The probability that $$E$$ lies in between $$2$$ and $$4$$ $$mm/day$$ in the watershed is (in decimal) _______.
The probability that $$E$$ lies in between $$2$$ and $$4$$ $$mm/day$$ in the watershed is (in decimal) _______.
Your input ____
Questions Asked from Probability and Statistics (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude