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 _______.
Your input ____
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) _______.
Your input ____
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12