Would appreciate help with these two, especially the second one.
The joint densities of and is given by:
where and are independent exponential random variables with parameter
Prove that S and T are independent by finding and and showing that
Once again I'd also like to ask if someone can suggest a book with sufficient examples and explanations regarding this kind of work. The book I have has very few examples, and even just as few explanations.Let and be independent and uniform on . Find and sketch the density function of