A private owned business operates both a drive-in facility and walk-in facility. On a randomly selected day, let X and Y respectively, are the proportions of the time that the drive-in and the walk-in facilities are in use, and suppose that the joint density function of these random variables is:
f(x, y) = 0.4 (2x+3y), 0<x<1, 0 <y <1 = 0, elsewhere. Find P (0<x <0.5, 0.25 < y < 0.5)
Find:(i) marginal probability distribution of X and Y.(ii) E(X)(iii) E(Y)(iv) E(2X+3Y)(v) E(XY).
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