Question: 7. Let X U(0, 1), and set Y = log(X). Give the sample space of Y, and find the CDF and PDF of Y.

7. Let X ∼ U(0, 1), and set Y = −log(X). Give the sample space of Y, and find the CDF and PDF of Y. (Hint.

FY(y) = P(Y ≤ y) = P(X ≥ exp(−y)).)

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