1

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Let $$\,\,X \in \left\{ {0,1} \right\}\,\,$$ and $$\,\,Y \in \left\{ {0,1} \right\}\,\,$$ be two independent binary random variables. If $$\,\,P\left( {X\,\, = 0} \right) = p\,\,$$ and $$\,\,P\left( {Y\,\, = 0} \right) = q\,\,$$, then $$P\left( {X + Y \ge 1} \right)$$ is equal to

2

GATE ECE 2015 Set 3

Numerical

+2

-0

A fair die with faces $$\left\{ {1,2,3,4,5,6} \right\}$$ is thrown repeatedly till $$'3'$$ is observed for the first time. Let $$X$$ denote the number of times the dice is thrown. The expected value of $$X$$ is _________.

Your input ____

3

GATE ECE 2015 Set 1

Numerical

+2

-0

The input $$X$$ to the Binary Symmetric Channel (BSC) shown in the figure is $$'1'$$ with probability $$0.8.$$ The cross-over probability is $$1/7$$. If the received bit $$Y=0,$$ the conditional probability that $$'1'$$ was transmitted is _______.

Your input ____

4

GATE ECE 2014 Set 4

Numerical

+2

-0

Parcels from sender $$S$$ to receiver $$R$$ pass sequentially through two post - offices. Each post - office has a probability $${1 \over 5}$$ of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post - office is _________.

Your input ____

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 2 (1)
GATE ECE 2015 Set 3 (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

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

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics