(Answered) Consider two independent random variables x and y x has a

Statistics

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).

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