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Unformatted text preview: Show directly (by computing the indicated partial derivative) that ∂ 2 ∂x∂y F X,Y ( x, y ) = f X ( x ) f Y ( y ) . Is this surprising? Why or why not? (c) If Z ∼ N (0 , 1) is independent of X and Y , determine the joint density of ( X, Y, Z ). 3. * On the top of page 10, Gut writes: “The joint distribution function can be expressed in terms of the joint probability function and the joint density function, respectively, in the obvious way.” Write down these two (obvious) expressions for the joint distribution function....
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This note was uploaded on 03/26/2012 for the course STAT 351 taught by Professor Michaelkozdron during the Fall '08 term at University of Regina.
 Fall '08
 MichaelKozdron
 Probability

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