1

GATE CE 2014 Set 2

MCQ (Single Correct Answer)

+1

-0.3

A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes; (i) Head, (ii) Head, (III) Head, (iv) Head. The probability of obtaining a ''Tail'' when the coin is tossed again is

2

GATE CE 2014 Set 2

Numerical

+2

-0

An observer counts $$240$$veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a $$30$$-second time interval is _______.

Your input ____

3

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

4

GATE CE 2014 Set 2

MCQ (Single Correct Answer)

+1

-0.3

The integrating factor for the differential equation $${{dP} \over {dt}} + {k_2}\,P = {k_1}{L_0}{e^{ - {k_1}t}}\,\,$$ is

Paper analysis

Total Questions

Engineering Mathematics

9

Geomatics Engineering Or Surveying

1

Geotechnical Engineering

1

Reinforced Cement Concrete

3

Strength of Materials Or Solid Mechanics

6

Structural Analysis

4

Transportation Engineering

1

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