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Show the following: a) Let there be Y with the cumulative distribution function F(y). Let F(Y)=Z....

Show the following:

a) Let there be Y with the cumulative distribution function F(y). Let F(Y)=Z. Show that Z~U(0,1) for F(y).

b) Let X~U(0,1), and let Y := -ln(X). Show that Y~exp(1)

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