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Questions › JNU › JNU SIS 2021 › Q58
0 marksStatistics › Joint distributions, covariance and correlation › Covariance and its propertiesModerateabout 2 min

JNU SIS 2021 Question 58: Joint distributions, covariance and correlation

Suppose that X and Y have the following joint probability distribution:

Y →\rightarrow→ / X ↓\downarrow↓-324Sum
10.10.20.20.5
30.30.10.10.5
Sum0.40.30.31

The covariance between X and Y is:

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Answer and worked solution

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Plain-text version

Suppose that X and Y have the following joint probability distribution: | Y → / X ↓ | -3 | 2 | 4 | Sum | 1 | 0.1 | 0.2 | 0.2 | 0.5 | 3 | 0.3 | 0.1 | 0.1 | 0.5 | Sum | 0.4 | 0.3 | 0.3 | 1 | The covariance between X and Y is: (A) 0 (B) 1 (C) -1 (D) -1.2

Also written as: Suppose that X and Y have the following joint probability distribution: | Y -> / X down | -3 | 2 | 4 | Sum | 1 | 0.1 | 0.2 | 0.2 | 0.5 | 3 | 0.3 | 0.1 | 0.1 | 0.5 | Sum | 0.4 | 0.3 | 0.3 | 1 | The covariance between X and Y is:

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.

Practise Joint distributions, covariance and correlationMore on Covariance and its properties

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Question from the JNU SIS 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.