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This exercise shows that non differentiabilities of the dual function given in Section 10.3, often tend to arise at the most interesting points and thus cannot be ignored. Show that if there is a duality gap, then the dual function q is nondifferentiable at every dual optimal solution
Academic degrees and gender. Here are the projected numbers (in thousands) of earned degrees in the United States in the 2010-2011 academic year, classi?ed by level and by the sex of the degree recipient:28
What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to 2 decimal places.
Consider the following data values of variables x and y. The equation of the least-squares regression line for this data is
Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M |
The following data give the annual incomes (in thousands of dollars) and amounts (in thousands of dollars) of life insurance policies for eight persons.
at a local university when scheduling classes the probability that there is no evening classes available on a certain
A certain test is designed to measure the satisfaction of an individual with his/her relationship. Suppose that the scores on this test are approximately normally distributed with a mean of 50 and a standard deviation of 10.
a graduate course has 3 biology students and 4 chemistry students. a sample of 2 students is randomly selected from
Internet is 13.4 hours per week, with the sample standard deviation of 6.8 hours. Determine the 95 percent confidence interval for mean time Wired subscribers spend on Internet.
Determine the fraction of the time that no light bulbs are working.
Calculate the standard error of estimate for the regression equation.
Hotels often overbook reservations, counting on the fact that some people will cancel at the last minute. A certain hotel chain finds that 80% of the reservations will be used. If we randomly select 15 reservations what is the probability that mor..
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