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A set of eight locations identified as: {A, B, C, D, E, F, G, H} depicts sites of pandemic situation; and, the statistical state of

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A set of eight locations identified as: {A, B, C, D, E, F, G, H} depicts sites of pandemic situation; and, the statistical state of pandemic at each site is identified in terms of random variable (x) denoting the number of subjects tested positive for the infection as indicated below. Corresponding probabilities of occurrence of infection at the sites, p(x) are also listed: Sites A B C D E F G H RV: X 17 11 12 10 5 8 13 9 p(x) 0.10 0.05 0.15 0.10 0.16 0.05 0.25 0.14 Determine the following with reference to the RV: . Find the expected average performance of the RV (x), . Find the variance of x . Based on central tendency considerations, decide the most probable site of the pandemic . Cumulative probability of the RV up to the median value: Px(x

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