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Math Help - how to show this

  1. #1
    Junior Member
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    how to show this

      \phi_{n}=(1-\frac{x}{T_{n}})^{n-1} , \ \ T_{n}\geq x , \ \ \ 0 \ \ \  otherwise

     X_{i} \ \ \ iid \ \ \ E(\lambda) , \ \ \ T_{n}=\sum_{1}^{n}{X_{i}}

    show that,  E(\phi_{k}|T_{n},\lambda)=\phi_{n} \ \ \ k\leq n
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  2. #2
    MHF Contributor matheagle's Avatar
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    you need to know the distribution of

    {X_1\over X_1+\cdots +X_n}
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