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
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
$${3 \over {{e^2}}}$$
3
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
$${7 \over 9}$$
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
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