Question: The p.d.f. of a random variable X is f(x) = 2x for 0 x 1. Use Equation 6.8.3, and you will have to

The p.d.f. of a random variable X is f(x) = 2x for 0 ≤ x ≤ 1. Use Equation 6.8.3, and you will have to use L'Hopital's rule to evaluate the integral.
Find the geometric mean of the continuous random variables with the given p.d.f. Compare with the expectation.

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