Annie and Alvie have agreed to meet for lunch between noon (o: oo p.m.) and 1:00 p.m. Denote Annie's arrival time by X, Alvie's by  Y, and suppose X and Yare independent with pdf's fx(x) =  {3x2     0< x < 1              0 otherwise f y(y) =    { 2y2    0 < y < 1                   0 otherwise   What is the expected amount of time that the one who arrives first must wait for the other person? [ Hint: h(X, Y) = I X - YI .]

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Annie and Alvie have agreed to meet for lunch between noon (o: oo p.m.) and 1:00 p.m. Denote Annie's arrival time by X, Alvie's by  Y, and suppose X and Yare independent with pdf's

fx(x) =  {3x2     0< x < 1

             0 otherwise

f y(y) =    { 2y2    0 < y < 1

                  0 otherwise

 

What is the expected amount of time that the one who arrives first must wait for the other person? [ Hint: h(X, Y) = I X - YI .]

 

 

 

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