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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 32 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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Engineering Mechanics
Engineering Mechanics Static and Dynamics
Machine Design
Bolted Riveted and Welded Joints Design For Static Loading Design of Brakes and Clutches Design of Spur Gears Design of Bearings Fatigue Strength
Strength of Materials
Springs Simple Stress and Strain Complex Stresses Pure Bending Moment of Inertia Shear Force and Bending Moment Stresses In Beams Deflection of Beams Columns and Struts Torsion Strain Energy Method Thin Cylinders
Heat Transfer
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Theory of Machines
Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel
Engineering Mathematics
Linear Algebra Vector Calculus Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Numerical Methods
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Fluid Properties Boundary Layer Turbulent Flow Fluid Dynamics Laminar Flow Fluid Kinematics Fluid Statics
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Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Calculation of Work and Heat Entropy and Irreversibility Rankine Cycle Availability Second Law of Thermodynamics
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