Data Science and Artificial Intelligence
GATE DA Probability and Statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–23 of 23. Imported answers require independent review unless marked reviewed.
Question 59
Open questionDANAT2 marksNeeds review
Consider a joint probability density function of two random variables X and Y
Then,
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 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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