1
GATE CE 2024 Set 1
Numerical
+2
-0
The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson’s distribution, the probability that it will be exceeded at least once in 50 years is ______________ % (rounded off to the nearest integer).
Your input ____
2
GATE CE 2022 Set 2
Numerical
+2
-0
A pair of six-faced dice is rolled twice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is _________ (round off to three decimal places).
Your input ____
3
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?
4
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?
GATE CE Subjects
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Engineering Mechanics
General Aptitude
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Steel Structures
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Measurement of Area, Volume and Theory of Errors and Survey Adjustment Curves Theodolites and Plane Table Surveying Levelling Traversing Basics of GIS, GPS and Remote Sensing Field Astronomy and Photogrammetric Surveying Linear Measurements and Chain Survey Angular Measurements and Compass Survey Basic Concepts
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Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization