2 6 If X is a continuous random variable with probability density function fX x 21 x 0 x 1, find the transformation Y gX such that the random variable Y has the uniform distribution over (0,2)

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Question: =+2.6. If X is a continuous random variable with probability density function fX x 21 x; 0 < x < 1, find the

=+2.6. If X is a continuous random variable with probability density function fX ðxÞ ¼ 2ð1 xÞ; 0 < x < 1, find the transformation Y ¼ gðXÞ such that the random variable Y has the uniform distribution over (0,2).

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