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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 35 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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GATE ME Subjects
Engineering Mechanics
Engineering Mechanics Static and Dynamics
Strength of Materials
Springs Pure Bending Stresses In Beams Simple Stress and Strain Complex Stresses Moment of Inertia Deflection of Beams Shear Force and Bending Moment Torsion Thin Cylinders Columns and Struts Strain Energy Method
Theory of Machines
Vibrations Gears and Gear Trains Flywheel Analysis of Plane Mechanisms
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Transform Theory Numerical Methods
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
Fluid Mechanics
Fluid Properties Fluid Statics Boundary Layer Turbulent Flow Laminar Flow Fluid Dynamics Fluid Kinematics
Turbo Machinery
Turbo Machinery
Heat Transfer
Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers
Thermodynamics
Calculation of Work and Heat Entropy and Irreversibility Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Rankine Cycle Availability Second Law of Thermodynamics
Production Engineering
Sheet Metal Forming Processes Metal Cutting Welding Process Metal Forming Casting Advance Machine Tools Machining Metrology and Inspection
Industrial Engineering
Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment
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