GATE ECE 2011 | Probability and Statistics Question 39 | Engineering Mathematics

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

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

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

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

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

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

A fair dice is rolled twice. The probability that an odd number will follow an even number is

$${1 \over 2}$$

$${1 \over 6}$$

$${1 \over 3}$$

$${1 \over 4}$$

GATE ECE Subjects

Browse all chapters by subject

Control Systems

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

Engineering Mathematics

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

Analog Circuits

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

Network Theory

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

Electromagnetics

Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous

Electronic Devices and VLSI

Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET

Digital Circuits

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

Microprocessors

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

Signals and Systems

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

Communications

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

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability