1
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
$${1 \over 8}$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is :
A
$${{2 \over 5}}$$
B
$${{4 \over 5}}$$
C
$${{3 \over 5}}$$
D
$${{1 \over 5}}$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow a \times \overrightarrow b = \overrightarrow b \times \overrightarrow c = \overrightarrow c \times \overrightarrow a $$ then $$\overrightarrow a + \overrightarrow b + \overrightarrow c = $$
A
$$abc$$
B
$$-1$$
C
$$0$$
D
$$2$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow u = \widehat i + \widehat j,\,\overrightarrow v = \widehat i - \widehat j$$ and $$\overrightarrow w = \widehat i + 2\widehat j + 3\widehat k\,\,.$$ If $$\widehat n$$ is a unit vector such that $$\overrightarrow u .\widehat n = 0$$ and $$\overrightarrow v .\widehat n = 0\,\,,$$ then $$\left| {\overrightarrow w .\widehat n} \right|$$ is equal to :
A
$$3$$
B
$$0$$
C
$$1$$
D
$$2$$
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