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8.3 Exercise 11

Avg difficulty 2.5

fXY(t,u)=1/2f_{X Y} \left(t , u\right) = 1 / 2 on the square with vertices at (1,0),(2,1),(1,2),(0,1)\left(1 , 0\right) , \left(2 , 1\right) , \left(1 , 2\right) , \left(0 , 1\right).

P ( X > 1 , Y > 1 ) , P ( X ≤ 1 / 2 , 1 < Y ) , P ( Y ≤ X ) P \left(X > 1 , Y > 1\right) , P \left(X \leq 1 / 2 , 1 < Y\right) , P \left(Y \leq X\right)

Pfeiffer, Applied Probability, 8.3 Problems On Random Vectors and Joint Distributions, exercise 11

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.