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8.3 Exercise 19

Avg difficulty 2.5

fXY(t,u)=12179(3t2+u)f_{X Y} \left(t , u\right) = \frac{12}{179} \left(3 t^{2} + u\right), for 0≤t≤20 \leq t \leq 2, 0≤u≤min{2,3-t}0 \leq u \leq \min \left\{2 , 3 - t\right\}

P ( X ≥ 1 , Y ≥ 1 ) , P ( X ≤ 1 , Y ≤ 1 ) , P ( Y < X ) P \left(X \geq 1 , Y \geq 1\right) , P \left(X \leq 1 , Y \leq 1\right) , P \left(Y < X\right)

Pfeiffer, Applied Probability, 8.3 Problems On Random Vectors and Joint Distributions, exercise 19

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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.