1

GATE CE 2014 Set 2

MCQ (Single Correct Answer)

+2

-0.6

If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined over the interval $$\left( { - \infty ,\,\, \pm \infty } \right)$$ and its occurrence is defined by the density function given as: $$f\left( x \right) = {1 \over {\sqrt {2\pi * b} }}{e^{ - {1 \over 2}{{\left( {{{x - a} \over b}} \right)}^2}}}$$ where $$'a'$$ and $$'b'$$ are the statistical attributes of the random variable $$\left\{ x \right\}$$. The value of the integral $$\int\limits_{ - \infty }^a {{1 \over {\sqrt {2\pi * b} }}{e^{ - {1 \over 2}{{\left( {{{x - a} \over b}} \right)}^2}}}} dx\,\,\,$$ is

2

GATE CE 2013

Numerical

+2

-0

Find the value of $$\lambda $$ such that the function $$f(x)$$ is a valid probability density function ________.

Your input ____

3

GATE CE 2012

MCQ (Single Correct Answer)

+2

-0.6

Is an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is

4

GATE CE 2011

MCQ (Single Correct Answer)

+2

-0.6

There are two containers with one containing $$4$$ red and $$3$$ green balls and the other containing $$3$$ blue balls and $$4$$ green balls. One ball is drawn at random from each container. The probability that one of the balls is red and the other is blue will be ___________.

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