GATE ECE 2012 | Probability and Statistics Question 29 | Engineering Mathematics

GATE ECE 2012

MCQ (Single Correct Answer)

-0.3

Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$ The probability that max $$\left[ {X,Y} \right]$$ is less than $$1/2$$ is

$$3/4$$

$$9/16$$

$$1/4$$

$$2/3$$

GATE ECE 2011

MCQ (Single Correct Answer)

-0.3

A fair dice is tossed two times. The probability that the $$2$$^nd toss results in a value that is higher than the first toss is

$${2 \over {36}}$$

$${2 \over {6}}$$

$${5 \over {12}}$$

$${1 \over {2}}$$

GATE ECE 2009

MCQ (Single Correct Answer)

-0.3

A fair coin is tossed $$10$$ times. What is the probability that only the first two tosses will yield heads?

$${\left( {{1 \over 2}} \right)^2}$$

$$10{c_2}\,{\left( {{1 \over 2}} \right)^2}$$

$${\left( {{1 \over 2}} \right)^{10}}$$

$$\,10{c_2}\,{\left( {{1 \over 2}} \right)^{10}}$$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.3

If $$E$$ denotes expectation, the variance of a random variable $$X$$ is given by

$$E\left( {{X^2}} \right) - {E^2}\left( X \right)$$

$$E\left( {{X^2}} \right) + {E^2}\left( X \right)$$

$$E\left( {{X^2}} \right)$$

$${E^2}\left( X \right)$$

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GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Network Theory

Network Elements Network Theorems Transient Response Sinusoidal Steady State Response Two Port Networks Network Graphs State Equations For Networks Miscellaneous

Control Systems

Signal Flow Graph and Block Diagram Time Response Analysis Compensators Basic of Control Systems Frequency Response Analysis Stability Root Locus Diagram State Space Analysis

Digital Circuits

Logic Gates Boolean Algebra Analog to Digital and Digital to Analog Converters Sequential Circuits Combinational Circuits Logic Families Number System and Code Convertions Semiconductor Memories

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Electronic Devices and VLSI

PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET

Analog Circuits

Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer

Engineering Mathematics

Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory

Microprocessors

Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085

Communications

Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication

Electromagnetics

Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous