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Questions › IIT JAM › IIT JAM 2023 › Q41
1 markStatistics › Joint distributions, covariance and correlation › Covariance and its propertiesModerateabout 2 min

IIT JAM 2023 Question 41: Joint distributions, covariance and correlation

Let X∼Uniform(8,20)X\sim\text{Uniform}(8,20)X∼Uniform(8,20) and Z∼Uniform(0,6)Z\sim\text{Uniform}(0,6)Z∼Uniform(0,6) be independent. Let Y=X+ZY=X+ZY=X+Z and W=X−ZW=X-ZW=X−Z. Then Cov(Y,W)\mathrm{Cov}(Y,W)Cov(Y,W) is ________ (in integer).

Answer and worked solution

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Plain-text version

Let X~Uniform(8,20) and Z~Uniform(0,6) be independent. Let Y=X+Z and W=X-Z. Then Cov(Y,W) is (in integer).

Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.

What this question tests

This question is on Covariance and its properties, part of Joint distributions, covariance and correlation in Statistics.

How two variables move together and how covariance combines.

TestStop has 9 past-paper questions on this subtopic.

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