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11.3 Exercise 23

Avg difficulty 2.5

(See Exercise 13 from "Problems On Random Vectors and Joint Distributions"). fXY(t,u)=18(t+u)f_{X Y} \left(t , u\right) = \frac{1}{8} \left(t + u\right) for 0≤t≤20 \leq t \leq 2, 0≤u≤20 \leq u \leq 2.

f X ( t ) = f Y ( t ) = 1 4 ( t + 1 ) , 0 ≤ t ≤ 2 f_{X} \left(t\right) = f_{Y} \left(t\right) = \frac{1}{4} \left(t + 1\right) , 0 \leq t \leq 2

Pfeiffer, Applied Probability, 11.3 Problems on Mathematical Expectation, exercise 23

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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.