Suppose it is known how to simulate a random variable X with the cumulative distribtuion function F defined by F(x) = P(X ≤ x) for all x = (-∞, ∞). Based on this fact, suggest how to simulate a random variable Y whose cumulative distribution function G is given by G(x) = 1−(1 − F(x))", where n ≥ 2 is an integer. Explain why your method is correct for this purpose.

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