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[All Steps] Let (X_i,Y_i) for i = 1, 2, …,16 where X_i is the height in inches of a young adult female and Y_i is the height in inches of her mother. Suppose

Question: Let \(({{X}_{i}},{{Y}_{i}})\) for i = 1, 2, …,16 where \({{X}_{i}}\) is the height in inches of a young adult female and \({{Y}_{i}}\) is the height in inches of her mother. Suppose that \({{X}_{i}}\) is \(N\left( {{\mu }_{X}},{{\sigma }^{2}} \right)\) and \({{Y}_{i}}\) is \(N\left( {{\mu }_{y}},{{\sigma }^{2}} \right)\), where \({{\sigma }^{2}}=4\) and \(\rho =0.8\) is the correlation coefficient between \({{X}_{i}}\) and \({{Y}_{i}}\), for all \(i=1,2,...,16\).

  1. Let \({{D}_{i}}={{X}_{i}}-{{Y}_{i}}\). What is the mean and the variance of \({{D}_{i}}\) ?
    Price: $2.99
    Solution: The downloadable solution consists of 2 pages
    Deliverable: Word Document


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