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Questions › DSE › DSE 2007 › Q55
2 marksStatistics › Joint distributions, covariance and correlation › Joint, marginal and conditional distributionsModerateabout 3 min

DSE 2007 Question 55: Joint distributions, covariance and correlation

The joint probability distribution of A (age in years) and W (weight one can lift) is given. The marginal probabilities of A are: P(15)=0.06P(15)=0.06P(15)=0.06, P(25)=0.38P(25)=0.38P(25)=0.38, P(40)=0.33P(40)=0.33P(40)=0.33, P(60)=0.22P(60)=0.22P(60)=0.22, P(80)=0.01P(80)=0.01P(80)=0.01. The expectation of the marginal distribution of A is:

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The joint probability distribution of A (age in years) and W (weight one can lift) is given. The marginal probabilities of A are: P(15)=0.06, P(25)=0.38, P(40)=0.33, P(60)=0.22, P(80)=0.01. The expectation of the marginal distribution of A is: (A) 36.7 years (B) 37.6 years (C) 35.6 years (D) 38.6 years

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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Question from the DSE 2007 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.