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?

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.