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Math Help - Exponential Distribution

  1. #1
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    Exponential Distribution

    Hi,

    Can someone please help me solve the following question:

    Let X1, X2 be independent Exponential(1) and Exponential(2) random variables respectively.
    Let Z = min(X1 ,X2). Obtain E(Z/X1) and V(Z/X1).

    Thank you very much.

    I am not too sure from where to start as they are random variables.
    I know that Z~epx(3) and E(Z) = 1/3 and V(Z) = 1/9

    I know the relationship of E(E[Z/X1]) = E(Z) = 1/9 and
    V(E[Z/X1]) + E(V[Z/X1]) = V(Z) = 1/9 but I don't know how to make use of them or any other way too calculate it.
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  2. #2
    MHF Contributor matheagle's Avatar
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    are these conditionals, a|b?
    because they look like division, a/b.
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  3. #3
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    There are conditional, sorry for being unclear.
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