GATE exam stream

GATE DA — Data Science & AI

35 questions and papers

GATE DA (Data Science and Artificial Intelligence) began in 2024. Alongside its own papers, this stream lists the CS questions on the probability, statistics, linear algebra, machine learning, databases and programming topics in the DA syllabus.

GATE CS 2017 Set 1 — Question 29

Multiple choice 2 marks Probability and Statistics 2017

\(P\) and \(Q\) are considering to apply for a job. The probability that \(P\) applies for the job is \(\dfrac{1}{4}\), the probability that \(P\) applies for the job given that \(Q\) applies for the job is \(\dfrac{1}{2}\), and the probability that \(Q\) applies for the…

GATE CS 2019 — Question 28

Numerical answer 1 mark Probability and Statistics 2019

Suppose \(Y\) is distributed uniformly in the open interval \((1,6)\). The probability that the polynomial \(3x^{2}+6xY+3Y+6\) has only real roots is (rounded off to 1 decimal place) ______.

GATE CS 2015 Set 1 — Question 47

Numerical answer 2 marks Probability and Statistics 2015

Suppose \(X_i\) for \(i=1,2,3\) are independent and identically distributed random variables whose probability mass functions are \(\Pr[X_i=0]=\Pr[X_i=1]=1/2\) for \(i=1,2,3\). Define another random variable \(Y=X_1X_2\oplus X_3\), where \(\oplus\) denotes XOR. Then…

GATE CS 2012 — Question 2

Multiple choice 1 mark Probability and Statistics 2012

Consider a random variable \(X\) that takes values \(+1\) and \(-1\) with probability \(0.5\) each. The values of the cumulative distribution function \(F(x)\) at \(x=-1\) and \(x=+1\) are

GATE CS 2009 — Question 26

Multiple choice 2 marks Probability and Statistics 2009

An unbalanced die (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is \(90\%\) of the probability that the face value is even. The probability of getting any even numbered face is the same. If the probability that the face is even given that it is greater than 3 is \(0.75\), which one of the following…