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Marc and Jane have agreed to meet for lunch between noon and 1:00 p.m. Denote Jane's...

Marc and Jane have agreed to meet for lunch between noon and 1:00 p.m. Denote Jane's arrival time from noon by X, Marc's by Y, and suppose X and Y are independent with probability density functions.

Mariginal pdf of X: 10x^9 0<x<1

Marginal pdf of Y: 7y^6 0<y<1

Find the expected amount of time Jane would have to wait for Marc to arrive. Round your answer to 4 decimal places.

*Please show steps, this was a two part problem but this second part I cannot find out

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