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1. Describe the event of trading something for something else (i.e. between two people). Describe buying as a kind of trading in which one of the objects traded is a sum of money. 2. Show that the statement of conditional independence P(X, Y | Z) = P(X | Z)P(Y | Z) is equivalent to each of the statements P(X | Y,Z) = P(X |Z) and P(Y | X,Z) = P(Y | Z)..

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1. Describe the event of trading something for something else (i.e. between two people). Describe buying as a kind of trading in which one of the objects traded is a sum of money. 2. Show that the statement of conditional independence P(X, Y | Z) = P(X | Z)P(Y | Z) is equivalent to each of the statements P(X | Y,Z) = P(X |Z) and P(Y | X,Z) = P(Y | Z).

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