Answer: In Exercises 117 and 118, as well as many other
Chapter 4, Problem 119(choose chapter or problem)
In Exercises 117 and 118, as well as many other situations,one has the pdf f(x) of X and wishes to know the pdfof y 5 h(X). Assume that h( ? ) is an invertible function,so that y 5 h(x) can be solved for x to yield x 5 k(y).Then it can be shown that the pdf of Y isg(y) 5 f[k(y)] ? uk9(y)ua. If X has a uniform distribution with A 5 0 andB 5 1, derive the pdf of Y 5 2ln(X).b. Work Exercise 117, using this result.c. Work Exercise 118(b), using this result
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