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18.07.2020 • 
Mathematics

Annie and Alvie have agreed to meet for lunch between noon (0:00 p.m.) and 1:00 p.m. Denote Annie's arrival time by X, Alvie's by Y, and suppose X and Y are independent with the following pdf's. f(x)= 3x^2 0<=x<=1
0 Otherwise

f(y)= 2y 0<= y< =1
0 Otherwise

Required:
What is the expected amount of time that the one who arrives first must wait for the other person?

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