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Probability density function of y is given

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Reference no: EM131697826

Consider two independent random variables X and Y . X has a Uniform distribution on the interval (0, 3). The probability density function of Y is given by fY (y) = y^2/9 0 < y < 3 0 otherwise

(a) Calculate P(X ÷ Y > 1).

(b) Calculate P(X + Y > 2).

(c) Calculate P(X × Y > 3)

Reference no: EM131697826

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