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Questions › DSE › DSE 2017 › Q37
2 marks, −0.666666666666667Statistics › Joint distributions, covariance and correlation › Joint, marginal and conditional distributionsEasyabout 2 min

DSE 2017 Question 37: Joint distributions, covariance and correlation

For the same joint distribution of XXX and YYY (with X=−1X=-1X=−1 giving P(Y=1)=0.1, P(Y=2)=α, P(Y=3)=0.3P(Y=1)=0.1,\,P(Y=2)=\alpha,\,P(Y=3)=0.3P(Y=1)=0.1,P(Y=2)=α,P(Y=3)=0.3 and X=1X=1X=1 giving P(Y=3)=β, P(Y=4)=P(Y=5)=P(Y=6)=0.1P(Y=3)=\beta,\,P(Y=4)=P(Y=5)=P(Y=6)=0.1P(Y=3)=β,P(Y=4)=P(Y=5)=P(Y=6)=0.1), and E(X)=−0.2E(X)=-0.2E(X)=−0.2, E(Y)=3.2E(Y)=3.2E(Y)=3.2, the value β\betaβ is

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For the same joint distribution of X and Y (with X=-1 giving P(Y=1)=0.1, P(Y=2)=α, P(Y=3)=0.3 and X=1 giving P(Y=3)=β, P(Y=4)=P(Y=5)=P(Y=6)=0.1), and E(X)=-0.2, E(Y)=3.2, the value β is (A) 0 (B) 0.1 (C) 0.2 (D) 0.3

Also written as: For the same joint distribution of X and Y (with X=-1 giving P(Y=1)=0.1, P(Y=2)=alpha, P(Y=3)=0.3 and X=1 giving P(Y=3)=beta, P(Y=4)=P(Y=5)=P(Y=6)=0.1), and E(X)=-0.2, E(Y)=3.2, the value beta is

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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