1
GATE ME 2012
+2
-0.6
An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ and $$Y$$. $$X$$ supplies $$60$$% and $$Y$$ supplies $$40$$% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $$X'$$ s shock absorbers, $$96$$% are reliable. Of $$Y'$$ s shock absorbers, $$72$$% are reliable. The probability that a randomly choosen shock absorber, which is found to reliable, is made by $$Y$$ is
A
$$0.288$$
B
$$0.334$$
C
$$0.667$$
D
$$0.720$$
2
GATE ME 2011
+2
-0.6
An unbiased coin is tossed five times. The outcome of each loss is either a head or a tail. Probability of getting at least one head is _______.
A
$${1 \over {32}}$$
B
$${13 \over {32}}$$
C
$${16 \over {32}}$$
D
$${31 \over {32}}$$
3
GATE ME 2007
+2
-0.6
Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relations $$b/w$$ expectation $$(E),$$ variance $$\left( {{V_{ar}}} \right)$$ and covariance $$\left( {{C_{ov}}} \right)$$ given below is FALSE?
A
$$E\left( {XY} \right) = E\left( X \right)E\left( Y \right)$$
B
$${\mathop{\rm cov}} \left( {X,Y} \right) = 0$$
C
$$Var\left( {X + Y} \right) = Var\left( X \right) + Var\left( Y \right)$$
D
$$\,E\left( {{X^2}{Y^2}} \right) = {\left( {E\left( X \right)} \right)^2}\,{\left( {E\left( Y \right)} \right)^2}$$
4
GATE ME 2005
+2
-0.6
A single die is thrown two times. What is the probability that the sum is neither $$8$$ nor $$9?$$
A
$${1 \over 9}$$
B
$${5 \over 36}$$
C
$${1 \over 4}$$
D
$${3 \over 4}$$
GATE ME Subjects
EXAM MAP
Medical
NEET