1

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?

2

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 ____

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