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8.3 Exercise 15

Avg difficulty 2.5

fXY(t,u)=388(2t+3u2)f_{X Y} \left(t , u\right) = \frac{3}{88} \left(2 t + 3 u^{2}\right) for 0≤t≤20 \leq t \leq 2, 0≤u≤1+t0 \leq u \leq 1 + t.

F X Y ( 1 , 1 ) , P ( X ≤ 1 , Y > 1 ) , P ( | X - Y | < 1 ) F_{X Y} \left(1 , 1\right) , P \left(X \leq 1 , Y > 1\right) , P \left(\right. \left|\right. X - Y \left|\right. < 1 \left.\right)

Pfeiffer, Applied Probability, 8.3 Problems On Random Vectors and Joint Distributions, exercise 15

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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.