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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 2004
MCQ (Single Correct Answer)
+4
-1
The probability that $$A$$ speaks truth is $${4 \over 5},$$ while the probability for $$B$$ is $${3 \over 4}.$$ The probability that they contradict each other when asked to speak on a fact is :
A
$${4 \over 5}$$
B
$${1 \over 5}$$
C
$${7 \over 20}$$
D
$${3 \over 20}$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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
$${37 \over 256}$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The mean and variance of a random variable $$X$$ having binomial distribution are $$4$$ and $$2$$ respectively, then $$P(X=1)$$ is :
A
$${1 \over 4}$$
B
$${1 \over 32}$$
C
$${1 \over 16}$$
D
$${1 \over 8}$$

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