1
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
The random variable $$X$$ takes on the values $$1,$$ $$2$$ (or) $$3$$ with probabilities $$\,{{2 + 5P} \over 5},{{1 + 3P} \over 5}\,\,$$ and $$\,\,{{1.5 + 2P} \over 5}\,\,$$ respectively the values of $$P$$ and $$E(X)$$ are respectively
A
$$0.05, 1.87$$
B
$$1.90, 5.87$$
C
$$0.05, 1.10$$
D
$$0.25, 1.40$$
2
GATE PI 2007
MCQ (Single Correct Answer)
+2
-0.6
If $$X$$ is a continuous random variable whose probability density function is given by $$$\,\,\,f\left( x \right) = \left\{ {\matrix{ {k\left( {5x - 2{x^2}} \right),} & {0 \le x \le 2} \cr {0,} & {Otherwise} \cr } } \right.\,\,\,\,$$$
Then $$P\left( {x > 1} \right)$$ is
A
$$3/14$$
B
$$4/5$$
C
$$14/17$$
D
$$17/28$$
3
GATE PI 2007
MCQ (Single Correct Answer)
+2
-0.6
The angle (in degrees) between two planar vectors $$\vec a = {{\sqrt 3 } \over 2}\widehat i + {1 \over 2}\widehat j$$ and $$\vec b = {{ - \sqrt 3 } \over 2}\widehat i + {1 \over 2}\widehat j$$ is
A
$$30$$
B
$$60$$
C
$$90$$
D
$$120$$
4
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
What is the value of $$\mathop {Lim}\limits_{x \to \pi /4} {{\cos x - \sin x} \over {x - \pi /4}}\,\,$$
A
$$\sqrt 2 $$
B
$$0$$
C
$$-\sqrt 2 $$
D
Limit does not exist
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12