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Suppose that the matching problem is to match nm men to nw women, where nw
(a) Describe in detail the generalization of the Gale-Shapley algorithm for this case. Prove that the algorithm terminates with a stable matching.
(b) What is the maximal number of stages in the men's courtship algorithm?
(c) Construct an example where nm > nw such that the men's courtship algorithm runs through the maximal number of stages.
a camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the cameras have a
In a group of college students there are 200 women, 10 of whom smoke. There are 150 men, 32 of whom smoke. Calculate the probability a randomly selected student is a woman or a smoker.
with a short time remaining in the day a ups driver has time to make delieveries at three locations among the eight
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American sports fans often complain about the lack of scoring in soccer. In particular, many Americans feel that scoreless ties occur way too often.
The first three horses in the ninth race. If there are 12 horses entered in today's ninth race, how many Big Triple outcomes are possible?
What is the probability of a child having a temperature in Group B or Group C - What is the predictive value positive?
edward and his friends cannot go outside when it is sunny because they are vampires. edwards hometown forks washington
What sample size is need if the agency wants to be 90% confidence of being correct to within +/- 5 minutes? if 90% is desired, how many listeners need to be selected?
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
If he selects the three brands at random, what is the probability that he will select the following?
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