1
GATE CE 2013
Numerical
+2
-0
Find the value of $$\lambda $$ such that the function $$f(x)$$ is a valid probability density function ________.
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2
GATE CE 2013
Numerical
+2
-0
There is no value of $$x$$ that can simultaneously satisfy both the given equations. Therefore, find the 'least squares error' solution to the two equations, i.e., find the value of $$x$$ that minimizes the sum of squares of the errors in the two equations
$$2x=3$$
$$4x=1$$
Your input ____
3
GATE CE 2013
MCQ (Single Correct Answer)
+1
-0.3
In its natural condition, a soil sample has a mass of 1.980 kg and a volume of 0.001 m3. After being completely dried in an oven, the mass of the sample is 1.800 kg. Specific gravity G is 2.7. Unit weight of water is 10 kN/m3. The degree of saturation of soil is
A
0.65
B
0.70
C
0.54
D
0.61
4
GATE CE 2013
MCQ (Single Correct Answer)
+1
-0.3
A 1-hour rainfall of 10 cm has a return period of 50 years. The probability that 1 hour of rainfall 10 cm or more will occur in each of two successive years is
A
0.04
B
0.2
C
0.02
D
0.0004
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