33. Let X and Y be independent exponential random variables with respective rates and . (a)...
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33. Let X and Y be independent exponential random variables with respective rates λ and μ.
(a) Argue that, conditional on , the random variables and are independent.
(b) Use part
(a) to conclude that for any positive constant c
(c) Give a verbal explanation of why and are (unconditionally) independent.
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