Let X and Y be independent uniform variables on [0, 1]. 1. Is X^3 also uniform on

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Let X and Y be independent uniform variables on [0, 1].
1. Is X^3 also uniform on [0, 1]? Justify your answer by calculating its PDF and CDF.
2. Calculate P(X < Y^2).
3. Compute P(|X − Y| <1/3). A drawing might help you if you need.

Posted Date: Oct 10, 2021 11:55 AM

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Let X and Y be independent uniform variables on [0, 1]. 1. Is X^3 also uniform on

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