1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833
In a sample of 100 heart patients, each patient has 80% chance of having a heart attack without medicine X. It is clinically known that medicine X reduces the probability of having a heart attack by 50%. Medicine X is taken by 50 of these 100 patients. The probability that a randomly selected patient, out of the 100 patients, takes medicine X and has a heart attack is
2
GATE CE 2024 Set 1
Numerical
+2
-0.833
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 ____
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?
Questions Asked from Probability and Statistics (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude