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Math Help - expected value help

  1. #1
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    Red face expected value help

    Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
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  2. #2
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    Quote Originally Posted by Sneaky View Post
    Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
    Review order statistics for geometric random variables.
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  3. #3
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    E(min(X,100)) can be expanded into

    99
    summation y*theta*(1-theta)^y
    y=o

    +

    inf.
    summation 100*theta*(1-theta)^100
    y=100

    But I don't know what to do here.
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  4. #4
    MHF Contributor matheagle's Avatar
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    Quote Originally Posted by Sneaky View Post
    Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
    I work in order stats and I don't know what that means.
    Is it the smallest order stat from a sample of 100?
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  5. #5
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    this question means
    find the expected value of Z when Z is a function of the smaller value of X or 100, and X is a geometric distribution with expected value of theta.
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