Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y respectively for the maize and the blue die. (a) What is the covariance of X +Y and X – Y? (b) Are X +Y and X – Y...

What is the covariance of X+Y and X−Y?

Are X+Y and X−Y independent?

Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y<br>respectively for the maize and the blue die.<br>(a) What is the covariance of X +Y and X – Y?<br>(b) Are X +Y and X – Y independent? Explain.<br>Hint: Is there a case where knowing the value of one would give us information<br>about the other?<br>

Extracted text: Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y respectively for the maize and the blue die. (a) What is the covariance of X +Y and X – Y? (b) Are X +Y and X – Y independent? Explain. Hint: Is there a case where knowing the value of one would give us information about the other?

Jun 01, 2022

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Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y respectively for the maize and the blue die. (a) What is the covariance of X +Y and X – Y? (b) Are X +Y and X – Y...

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