1

GATE ECE 2009

MCQ (Single Correct Answer)

+2

-0.6

Consider two independent random variables $$X$$ and $$Y$$ with identical distributions. The variables $$X$$ and $$Y$$ take values $$0, 1$$ and $$2$$ with probability $$1/2,$$ $$1/4$$ and $$1/4$$ respectively. What is the conditional probability $$P(X+Y=2/X-Y=0)?$$

2

GATE ECE 2009

MCQ (Single Correct Answer)

+2

-0.6

A discrete random variable $$X$$ takes value from $$1$$ to $$5$$ with probabilities as shown in the table. A student calculates the mean of $$X$$ as $$3.5$$ and her teacher calculates the variance to $$X$$ as $$1.5.$$ Which of the following statements is true?

3

GATE ECE 2007

MCQ (Single Correct Answer)

+2

-0.6

An examination consists of two papers, paper $$1$$ and paper $$2.$$ The probability of failing in paper $$1$$ is $$0.3$$ and that in paper $$2$$ is $$0.2.$$ Given that a student has failed in paper $$2,$$ the probability of failing in paper $$1$$ is $$0.6.$$ The probability of a student failing in both the papers is

Questions Asked from Probability and Statistics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE 2017 Set 2 (1)
GATE ECE 2016 Set 3 (1)
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 3 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 4 (1)
GATE ECE 2014 Set 3 (2)
GATE ECE 2014 Set 2 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2013 (2)
GATE ECE 2012 (1)
GATE ECE 2010 (1)
GATE ECE 2009 (2)
GATE ECE 2007 (1)

GATE ECE Subjects

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

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

Electromagnetics

General Aptitude