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11.3 Exercise 22

Avg difficulty 2.5

(See Exercise 12 from "Problems On Random Vectors and Joint Distributions"). fXY(t,u)=4t(1-u)f_{X Y} \left(t , u\right) = 4 t \left(1 - u\right) for 0≤t≤10 \leq t \leq 1, 0≤u≤10 \leq u \leq 1.

f X ( t ) = 2 t , 0 ≤ t ≤ 1 , f Y ( u ) = 2 ( 1 - u ) , 0 ≤ u ≤ 1 f_{X} \left(t\right) = 2 t , 0 \leq t \leq 1 , f_{Y} \left(u\right) = 2 \left(1 - u\right) , 0 \leq u \leq 1

Pfeiffer, Applied Probability, 11.3 Problems on Mathematical Expectation, exercise 22

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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.