1
AIEEE 2006
+4
-1
At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of $$5$$ phone calls during $$10$$ minute time intervals. The probability that there is at the most one phone call during a $$10$$-minute time period is :
A
$${6 \over {{5^e}}}$$
B
$${5 \over 6}$$
C
$${6 \over 55}$$
D
$${6 \over {{e^5}}}$$
2
AIEEE 2005
+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
+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
$${3 \over {{e^2}}}$$
4
AIEEE 2005
+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
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