Consider the following table :
| \ | 0 | 1 | 2 | |
|---|---|---|---|---|
| 0 | 1/6 | 1/3 | 1/12 | 7/12 |
| 1 | 2/9 | 1/6 | 0 | 7/18 |
| 2 | 1/36 | 0 | 0 | 1/36 |
| 5/12 | 1/2 | 1/12 | 1 |
Calculate .
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2 marks, −1StatisticsJoint distributions, covariance and correlationJoint, marginal and conditional distributionsModerateabout 1 min
JNU SIS 2017 Question 27: Joint distributions, covariance and correlation
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Plain-text version
Consider the following table: | Y \ X | 0 | 1 | 2 | Σ | 0 | 1/6 | 1/3 | 1/12 | 7/12 | 1 | 2/9 | 1/6 | 0 | 7/18 | 2 | 1/36 | 0 | 0 | 1/36 | Σ | 5/12 | 1/2 | 1/12 | 1 | Calculate P(X / Y = 1). (A) 1 (B) 7/18 (C) 1/2 (D) 3/4
Also written as: Consider the following table: | Y \ X | 0 | 1 | 2 | Sigma | 0 | 1/6 | 1/3 | 1/12 | 7/12 | 1 | 2/9 | 1/6 | 0 | 7/18 | 2 | 1/36 | 0 | 0 | 1/36 | Sigma | 5/12 | 1/2 | 1/12 | 1 | Calculate P(X / Y = 1).
Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.
What this question tests
This question is on Joint, marginal and conditional distributions, part of Joint distributions, covariance and correlation in Statistics.
How two random variables behave together and separately.
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