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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.
There are 15 juniors and 20 seniors in the Stat Club. The club is to send four representatives to the Joint Statistical Meetings. If the members of the club decide to send two junior and two seniors, how many different groupings are possible?
at a raffle 10000 tickets are sold at 10 each for three prizes valued at 4800 1200 and 400. what is the expected value
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Let Double be the set of strings defined as {s} s= ww}. Double contains only strings composed of two identical repeated pieces. For example, if you have a vocabulary of the ten digits 0 to 9, then the following strings (and many more!) are in Dou..
What is the test statistic? Give answer to three decimal places What is the critical value? Give answer to three decimal places. The proper conclusion is to reject H0.
in a 2 x 3 x 3 analysis of variance the number of cells
a fair ten-sided die is rolled once. event a is the event that a number less than 7 is rolled. event b is the event
In a sample of 50 members of a local health club you find that 12 of these members meet weekly with a physical fitness trainer and that the average body mass index (BMI) of these 12 members is less than the average BMI of the other 38 club members..
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