Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

2.I.4F

Probability | Part IA, 2003

The random variable XXX is uniformly distributed on the interval [0,1][0,1][0,1]. Find the distribution function and the probability density function of YYY, where

Y=3X1−XY=\frac{3 X}{1-X}Y=1−X3X​

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