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1
GATE ME 2007
MCQ (Single Correct Answer)
+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
$$\,E\left( {{X^2}{Y^2}} \right) = {\left( {E\left( X \right)} \right)^2}\,{\left( {E\left( Y \right)} \right)^2}$$
2
GATE ME 2005
MCQ (Single Correct Answer)
+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
$${3 \over 4}$$
3
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
From a pack of regular playing cards, two cards are drawn at random. What is the probability that both cards will be kings, if the card is NOT replaced?
A
$$1/26$$
B
$$1/52$$
C
$$1/169$$
D
$$1/221$$
4
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
The following data about the flow of liquid was observed in a continuous chemical process plant GATE ME 2004 Engineering Mathematics - Probability and Statistics Question 37 English

Mean flow rate of the liquid is

A
$$8.00$$ liters/sec
B
$$8.06$$ liters/sec
C
$$8.16$$ liters/sec
D
$$8.26$$ liters/sec
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