8. Dick and Jane have agreed to meet for lunch between noon (0:00 p.m.) and 1:00 p.m. Denote Jane's arrival time by X, Dick's by Y, and suppose X and Y are independent with probability density functions 3 x? 0< xS 1 2у Osys1 fx(x)= otherwise otherwise a) Find the probability that Jane arrives before Dick. That is, find P (X

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