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Mathematics, 12.06.2020 21:57 iornstricker

Let X have density function fX(x) = ( 2x 0 < x < 1 0 otherwise and let Y be uniformly distributed on the interval (0, 1). Assume X and Y are independent. (a) Find the density function of X + Y . Hint: Start by finding the CDF of X + Y and be careful. (b) Calculate the probability P(X + Y ≥ 3/2).

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Let X have density function fX(x) = ( 2x 0 < x < 1 0 otherwise and let Y be uniformly distribu...

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