Question: 10. Suppose that the density of a continuous random variable X is given by 1 W) m - Find the density of the random variable

10. Suppose that the density of a continuous random variable X

10. Suppose that the density of a continuous random variable X is given by 1 W) m - Find the density of the random variable Y = 1 X1/3. Solution: Computing the c.d.f. Fy of Y, and then differentiating it, we obtain 3 (1-3;)2 PY(y) = Em

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