Data Science and Artificial Intelligence
GATE DA topic:computing PYQs
Build your understanding with focused practice from past exam papers.
Questions 191–195 of 195. Imported answers require independent review unless marked reviewed.
Question 61
Open questionDANAT2 marksNeeds review
Let
, and let
be the singular values of the matrix
(where
is the transpose of
). The value of
is _____.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 62
Open questionDANAT2 marksNeeds review
Details of ten international cricket games between two teams “Green” and “Blue” are given in Table C. This table consists of matches played on different pitches, across formats along with their winners. The attribute Pitch can take one of two values: spin-friendly (represented as S) or pace-friendly (represented as F). The attribute Format can take one of two values: one-day match (represented as O) or test match (represented as T).
A cricket organization would like to use the information given in Table C to develop a decision-tree model to predict outcomes of future games between these two teams.
To develop such a model, the computed InformationGain(C, Pitch) with respect to the Target is _____ (rounded off to two decimal places).
Table C
Match Number | Pitch | Format | Winner (Target) |
|---|---|---|---|
1 | S | T | Green |
2 | S | T | Blue |
3 | F | O | Blue |
4 | S | O | Blue |
5 | F | T | Green |
6 | F | O | Blue |
7 | S | O | Green |
8 | F | T | Blue |
9 | F | O | Blue |
10 | S | O | Green |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 63
Open questionDANAT2 marksNeeds review
Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to measure the distance between two points. The minimum odd value of
in k-nearest neighbor algorithm for which the diamond (◇) shaped data point is assigned the label square is _____. 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
Open questionDANAT2 marksNeeds review
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables:
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The value of
______ (rounded off to three decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 65
Open questionDANAT2 marksNeeds review
Two fair coins are tossed independently. X is a random variable that takes a value of 1 if both tosses are heads and 0 otherwise. Y is a random variable that takes a value of 1 if at least one of the tosses is heads and 0 otherwise.
The value of the covariance of X and Y is ______ (rounded off to three decimal places).
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