1
GATE CE 2025 Set 2
MCQ (More than One Correct Answer)
+1
-0
Given that $A$ and $B$ are not null sets, which of the following statements regarding probability is/are CORRECT?
2
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+1
-0.33
$X$ is the random variable that can take any one of the values, $0,1,7,11$ and 12 . The probability mass function for $X$ is
$$ \begin{aligned} & \mathrm{P}(X=0)=0.4 ; \mathrm{P}(X=1)=0.3 ; \mathrm{P}(X=7)=0.1 ; \\ & \mathrm{P}(X=11)=0.1 ; \mathrm{P}(X=12)=0.1 \end{aligned} $$
Then, the variance of $X$ is
3
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probability that the student passes in both of these subjects is $\frac{1}{6}$. The probability that the student will pass in at least one of these two subjects is
4
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Which of the following probability distribution functions (PDFs) has the mean greater than the median?

Questions Asked from Probability and Statistics (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE CE 2025 Set 2 (1)
GATE CE 2025 Set 1 (1)
GATE CE 2024 Set 1 (1)
GATE CE 2023 Set 2 (2)
GATE CE 2023 Set 1 (1)
GATE CE 2017 Set 2 (1)
GATE CE 2017 Set 1 (1)
GATE CE 2016 Set 2 (2)
GATE CE 2016 Set 1 (1)
GATE CE 2014 Set 2 (1)
GATE CE 2012 (1)
GATE CE 2010 (1)
GATE CE 2008 (1)
GATE CE 2007 (1)
GATE CE 2003 (1)
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
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
Fluid Mechanics and Hydraulic Machines
Hydrology
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Curves Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude