1

GATE ECE 2017 Set 2

Numerical

+2

-0

Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $$40$$% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is ___________.

Your input ____

2

GATE ECE 2016 Set 3

Numerical

+2

-0

The probability of getting a ''head'' in a single toss of a biased coin is $$0.3.$$ The coin is tossed repeatedly till a ''head'' is obtained. If the tosses are independent, then the probability of getting ''head'' for the first time in the fifth toss is ________.

Your input ____

3

GATE ECE 2016 Set 1

Numerical

+2

-0

Two random variables $$X$$ and $$Y$$ are distributed according to
$$${f_{X,Y}}\left( {x,y} \right) = \left\{ {\matrix{
{\left( {x + y} \right),} & {0 \le x \le 1,} & {0 \le y \le 1} \cr
{0,} & {otherwise} & \, \cr
} } \right.$$$

The probability $$P\left( {X + Y \le 1} \right)$$ is ________.

Your input ____

4

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

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

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

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

Communications

Electromagnetics

General Aptitude