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(A Variation of the Asymmetric Assignment Problem) Consider a problem which is the same as the asymmetric assignment problem with the exception that in a feasible assignment S there can be at most one incident arc for every person and at most one incident arc for every object (that is, there is no need for every person, as well as for every object, to be assigned). The corresponding linear program is
(a) Show that this problem can be converted to an asymmetric assignment problem where all persons must be assigned. Hint: For each person i introduce an artificial object i and a zero cost arc (i, i ).
(b) Adapt and streamline the auction algorithm for asymmetric assignment problems of Section 7.1 to solve the problem.
each year about 1500 students take the introductory statistics course at a large university. this year scores on the
find poisson approximations to the probabilities of the following events in 500 indepen- dent trials with probability
Four movies are randomly selected. Their lenghts were 110, 96, 125, and 136 minutes. Find a 95% confidence interval of the average of the lenghs of the movie.
Find the mean and the standard deviation of the sampling distribution of x, and find an interval containing 95.44 percent of all possible sample mean returns.
If you have a claim that says a difference in proportions is greater than 0, but the confidence interval test includes 0, do you reject or accept the claim?
matt thinks that he has a special relationship with the number 2. in particular matt thinks that he would roll a 2 with
compute the standard error of the estimate for the data below.x values 56 68 78 85 98y values 87 110 138 161
The data set odor .txt contains three responses gathered from a factorial design (described in Chapter 9). The purpose of the experiment was to study the effect of formulation changes for a lens coating on three primary responses:
Can you provide another explanation for this one: Zc/Tc for 86% confidence interval when the sample size 50?
Can you please derive the mean and variance of a RV X, which has a Poisson distribution.
A prof. can't decide how to vote on a tuition increase for the students at her univ. The incrase is supposed to pay for new student parking and there appears to be mixed feelings. The prof.
1. The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of fresh fruit per person is 99.9 pounds. The standard deviation of fresh fruit consumption is about 30 pounds.
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