1
GATE CE 2015 Set 2
Numerical
+2
-0
The probability density function of a random variable, $$x$$ is $$\matrix{ {f\left( x \right) = {x \over 4}\left( {4 - {x^2}} \right)} & {for\,\,0 \le x \le 2 = 0} \cr { = 0} & {otherwise} \cr }$$$The mean, $${\mu _x}$$ of the random variable is __________. Your input ____ 2 GATE CE 2015 Set 2 MCQ (Single Correct Answer) +2 -0.6 Four cards are randomly selected from a pack of $$52$$ cards. If the first two cards are kings, what is the probability that the third card is a king? A $$4/52$$ B $$2/50$$ C $$\left( {1/52} \right) \times \left( {1/52} \right)$$ D $$\left( {1/52} \right) \times \left( {1/51} \right) \times \left( {1/50} \right)$$ 3 GATE CE 2015 Set 1 Numerical +2 -0 Consider the following probability mass function (p.m.f) of a random variable $$X.$$ $$p\left( {x,q} \right) = \left\{ {\matrix{ q & {if\,X = 0} \cr {1 - q} & {if\,X = 1} \cr 0 & {otherwise} \cr } } \right.$$$
$$q=0.4,$$ the variance of $$X$$ is _______.
4
GATE CE 2014 Set 1
Numerical
+2
-0
The probability density function of evaporation $$E$$ on any day during a year in a watershed is given by $$f\left( E \right) = \left\{ {\matrix{ {{1 \over 5}} & {0 \le E \le 5\,mm/day} \cr 0 & {otherwise} \cr } } \right.$$\$
The probability that $$E$$ lies in between $$2$$ and $$4$$ $$mm/day$$ in the watershed is (in decimal) _______.
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
NEET