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Let S ⊆ Rn be a closed and convex set, and let x ∈ S.
Find a hyperplane H(α, β) strictly separating x from S; i.e., x is in the interior of H +(α, β), and S is in the interior H -(α, β).
Statistics and Probability, Statistics
Micron Technology Inc. invested into 7 new projects (all of equal size). For each of these project, there is a 75% probability that the project will have a 12% return and a 25% that it will have a -9% return. Each of the ...
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A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the ...
Let X be a random variable with range RX = {-1, 0, 1} and let P(X = 1) = P(X = -1) = p/2 for some p ∈ [0, 1]. a) Compute P(X = 0). b) Compute the expectation E[X] and variance Var(X) of X as a function of p, and determin ...
Assume that from a random sample of 18 trees a researcher found that the average height of the trees was 4.3 meters with a standard deviation of 0.25 meters. Assume that the distribution of the heights of these trees is ...
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A? BBB-rated corporate bond has a yield to maturity of 12.8 %. A U.S. treasury security has a yield to maturity of 11.4 %. These yields are quoted as APRs with semiannual compounding. Both bonds pay? semi-annual coupons ...
Need help with calculating these problems: A research group conducted an extensive survey of 2957 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gather ...
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