1

GATE CSE 2017 Set 2

MCQ (Single Correct Answer)

+2

-0.6

$$P$$ and $$Q$$ are considering to apply for a job. The probability that $$P$$ applies for the job is $${1 \over 4},$$ the probability that $$P$$ applies for the job given that $$Q$$ applies for the job is $${1 \over 2},$$ and the probability that $$Q$$ applies for the job given that $$P$$ applies for the job is $${1 \over 3}.$$ Then the probability that $$P$$ does not apply for the job given that $$Q$$ does not apply for the job is

2

GATE CSE 2017 Set 2

Numerical

+2

-0

If a random variable $$X$$ has a Poisson distribution with mean $$5,$$ then the expectation $$E\left[ {{{\left( {X + 2} \right)}^2}} \right]$$ equals _________.

Your input ____

3

GATE CSE 2017 Set 2

MCQ (Single Correct Answer)

+2

-0.6

For any discrete random variable $$X,$$ with probability mass function $$P\left( {X = j} \right) = {p_j},$$

$${p_j}\,\, \ge 0,\,j \in \left\{ {0,..........,\,\,\,N} \right\},$$ and $$\,\,\sum\limits_{j = 0}^N {{p_j} = 1,\,\,} $$ define the polynomial function $${g_x}\left( z \right) = \sum\limits_{j = 0}^N {{p_j}{z^j}} .$$ For a certain discrete random variable $$Y$$, there exists a scalar $$\beta $$ $$ \in \left[ {0,1} \right]$$ such that $${g_y}\left( z \right) = {\left\{ {1 - \beta + \left. {\beta z} \right)} \right.^N}.$$ The expectation of $$Y$$ is

$${p_j}\,\, \ge 0,\,j \in \left\{ {0,..........,\,\,\,N} \right\},$$ and $$\,\,\sum\limits_{j = 0}^N {{p_j} = 1,\,\,} $$ define the polynomial function $${g_x}\left( z \right) = \sum\limits_{j = 0}^N {{p_j}{z^j}} .$$ For a certain discrete random variable $$Y$$, there exists a scalar $$\beta $$ $$ \in \left[ {0,1} \right]$$ such that $${g_y}\left( z \right) = {\left\{ {1 - \beta + \left. {\beta z} \right)} \right.^N}.$$ The expectation of $$Y$$ is

4

GATE CSE 2016 Set 2

Numerical

+2

-0

Suppose that a shop has an equal number of

**LED**bulbs of two different types. The probability of an**LED**bulb lasting more than $$100$$ hours given that it is of Type $$1$$ is $$0.7,$$ and given that it is of Type $$2$$ is $$0.4.$$ The probability that an**LED**bulb chosen uniformly at random lasts more than $$100$$ hours is _________.Your input ____

Questions Asked from Probability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (3)
GATE CSE 2020 (1)
GATE CSE 2019 (1)
GATE CSE 2018 (2)
GATE CSE 2017 Set 2 (3)
GATE CSE 2016 Set 2 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2015 Set 1 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2014 Set 1 (1)
GATE CSE 2012 (1)
GATE CSE 2011 (2)
GATE CSE 2010 (2)
GATE CSE 2009 (1)
GATE CSE 2008 (3)
GATE CSE 2007 (1)
GATE CSE 2006 (1)
GATE CSE 2005 (3)
GATE CSE 2004 (3)
GATE CSE 2002 (1)
GATE CSE 2001 (1)
GATE CSE 2000 (1)
GATE CSE 1999 (2)
GATE CSE 1996 (1)
GATE CSE 1995 (1)

GATE CSE Subjects

Discrete Mathematics

Programming Languages

Theory of Computation

Operating Systems

Computer Organization

Database Management System

Data Structures

Computer Networks

Algorithms

Compiler Design

Software Engineering

Web Technologies

General Aptitude