1
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
A random variable $$X$$ has Poisson distribution with mean $$2$$.
Then $$P\left( {X > 1.5} \right)$$ equals
A
$${2 \over {{e^2}}}$$
B
$$0$$
C
$$1 - {3 \over {{e^2}}}$$
D
$${3 \over {{e^2}}}$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
A
$${2 \over 9}$$
B
$${1 \over 9}$$
C
$${8 \over 9}$$
D
$${7 \over 9}$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
Let $$A$$ and $$B$$ two events such that $$P\left( {\overline {A \cup B} } \right) = {1 \over 6},$$ $$P\left( {A \cap B} \right) = {1 \over 4}$$ and $$P\left( {\overline A } \right) = {1 \over 4},$$ where $${\overline A }$$ stands for complement of event $$A$$. Then events $$A$$ and $$B$$ are
A
equally likely and mutually exclusive
B
equally likely but not independent
C
independent but not equally likely
D
mutually exclusive and independent
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The mean and the variance of a binomial distribution are $$4$$ and $$2$$ respectively. Then the probability of $$2$$ successes is
A
$${28 \over 256}$$
B
$${219 \over 256}$$
C
$${128 \over 256}$$
D
$${37 \over 256}$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEE
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Medical
NEET