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Math Help - Expectation

  1. #1
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    Expectation

    The time interval Y between successive feedings of a certain type of insect has an exponential distribution with mean proportional to a positive measured characteristic x of the insect. Suppose we observe n independent insects, observing time intervals Y1, . . . , Yn with associated characteristics x1, . . . , xn.



    Let E(Y)=a.

    I have need to calculate . I supposed they were independent and then using the information i have E(Y)=cX so I get a/(c/a)=a^2/c. I think however that it is wrong.


    Last edited by Duke; December 22nd 2011 at 04:24 AM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    Re: Expectation

    It doesnt sound like Y and X are indep at all
    Furthermore that would be E(YlX) not E(Y).
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