The joint density function of Y1 and Y2 is given by f(y1, y2) = (y1 + y2, 0 < y1 < 1, 0 < y2 < 1, 0, elsewhere a) Find marginal density functions. Are Y1 and Y2 independent? b) Could you tell whether Y1 and Y2 were independent or not without finding marginal density functions? Explain. c) Find P(Y1 + Y2 < 0.2).

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