[Solution] Let the random variable Y possess a uniform distribution on the interval (0,1). Derive the distribution of the random variable W=Y^2. distribution


Question: Let the random variable \(Y\) possess a uniform distribution on the interval \((0,1)\). Derive the

  1. distribution of the random variable \(W=Y^{2}\).
  2. distribution of the random variable \(W=\sqrt{Y}\).

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