1
GATE CE 2013
Numerical
+2
-0
Find the value of $$\lambda $$ such that the function $$f(x)$$ is a valid probability density function ________.
Your input ____
2
GATE CE 2012
MCQ (Single Correct Answer)
+2
-0.6
Is an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is
A
$${1 \over {32}}$$
B
$${2 \over {32}}$$
C
$${3 \over {32}}$$
D
$${6 \over {32}}$$
3
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
There are two containers with one containing $$4$$ red and $$3$$ green balls and the other containing $$3$$ blue balls and $$4$$ green balls. One ball is drawn at random from each container. The probability that one of the balls is red and the other is blue will be ___________.
A
$${1 \over 7}$$
B
$${9 \over 49}$$
C
$${12 \over 49}$$
D
$${3 \over 7}$$
4
GATE CE 2009
MCQ (Single Correct Answer)
+2
-0.6
The standard normal probability function can be approximated as $$$F\left( {{X_N}} \right) = {1 \over {1 + \exp \left( { - 1.7255{X_N}{{\left| {{X_N}} \right|}^{0.12}}} \right)}}\,\,\,$$$
$$\,{X_N} = $$ standard normal deviate. If mean and standard deviation of annual precipitation are $$102$$ cm and $$27$$ cm respectively, the probability that the annual precipitation will be $$b/w$$ $$90$$ cm and $$102$$ cm is
A
$$66.7$$%
B
$$50.0$$%
C
$$33.3$$%
D
$$16.7$$%
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Fluid Mechanics and Hydraulic Machines
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