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Math Help - Probability and statistics

  1. #1
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    Probability and statistics

    QUESTION a

    Bombardment of a certain atomic nucleus can result in 5 types of disintegrations. On examining photographic records of such disintegrations, X are found to be of the first type.
    1. Show that X/n is an unbiased estimator of the probability of a disintegration being "first type".
    2. Explain why unbiasedness is usually thought to be a desirable property.



    QUESTION b
    Symmetry considerations imply that the probability of the second type of disintegration is also variance. If Z is the number of the disintegrations which are either first or second type,
    1 find an unbiased estimator of variance based on Z.
    2 is it preferable to the one based on X? ( give reasons)
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  2. #2
    MHF Contributor
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    Re: Probability and statistics

    where exactly are you stuck? you wont learn much if we do the whole thing for you
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