Recent content by gjones89

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    Compactness of a set of feasible solutions

    Hi, Sorry, I think I may not have explained it well enough. By 'set of feasible solutions' I mean the set of all sets \{\lambda_1,\lambda_2,...,\lambda_n\} satisfying the constraints \sum_{i=1}^n \lambda_i\leq \lambda and \lambda_i\geq 0 for all i\in\{1,2,...,N\}. This set will obviously be...
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    Compactness of a set of feasible solutions

    Hi everyone, I am working on a problem in Operations Research but I need to prove a property related to compactness of a set. Although I expect it is quite elementary, I have never studied Analysis at an advanced level so am not sure how to do it. I have an optimisation problem in which a...
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    Expectation of a function of X and Y

    Homework Statement Find E[X^Y], where X and Y are independent random variables which are uniform on [0,1]. Homework Equations The Attempt at a Solution I know that to get E[f(x)] for a function of one continuous random variable X, you integrate xf(x) between minus and plus infinity...
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    Does this problem make sense? (Probability and Survey Sampling)

    Hi, I am trying to answer a question for an assignment, but am convinced that it doesn't make sense. Please see here: http://img813.imageshack.us/img813/1585/qst.png My problem is with Plan 2 in the question. The probability of selecting any of the 5 elements on the first selection is...
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