Let X~ Uniform(0, 1) and pe (0, 1) be a positive number. Derive the cumulative distribution function of a) Y = -log(X), for >> 0. b) Z= g(X) where the function g(x) = 1 when 0 < x

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Question 1
Let X~ Uniform(0, 1) and p = (0, 1) be a positive number. Derive the
cumulative distribution function of
a) Y = -log(X), for À > 0.
b) Z= g(X) where the function g(x) = 1 when 0 < x < p and g(x) = 0
otherwise.
Transcribed Image Text:Question 1 Let X~ Uniform(0, 1) and p = (0, 1) be a positive number. Derive the cumulative distribution function of a) Y = -log(X), for À > 0. b) Z= g(X) where the function g(x) = 1 when 0 < x < p and g(x) = 0 otherwise.
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