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Consider the problem of finding a shortest (forward) path from an origin node s to a destination node t of a graph with given arc lengths, subject to the additional constraint that the path passes through every node exactly once.
(a) Show that the problem can be converted to a traveling salesman problem by adding an artificial arc (t, s) of length -M, where M is a sufficiently large number.
(b) (Longest Path Problem) Consider the problem of finding a simple forward path from s to t that has a maximum number of arcs. Show that the problem can be converted to a traveling salesman problem.
A arbitrary sample of 8 students is selected. Illucidate the probability that among the students in the sample at least 7 are female.
If a resistance is adequately described by a Gaussian random variable for which mean = 1000; and standard deviation = 40;, what fraction of the resistance expected to be rejected?
A survey is planned to determine the mean annual family medical expenses of employees of a large company. The management of the company wishes to be 95% confident that the sample mean is correct to within plus-or-minus $50 of the population mean.
an optical inspection system is to distinguish among different part types. the probability of a correct classification
a sports league is making up their season schedule. the league has 12 teams with eight teams from la and the rest from
A 0.250 kg ball of Plasticine moving 5.0 m/s overtakes and collides with a 0.3000 kg ball of Plasticine, traveling in the same directiion at 2.0 m/s. The 2 balls of Plasticine stick together pm collison. What is their speed after the collision.
How many homes were sold during the last month? What is the class interval? About 75 percent of the houses sold for less than what amount?
Use the decision rule associated with part (a) and a range of selected assumed values for µ in constructing the power curve for the test.
Express Courier Service has found that the delivery time for packages is normally distributed, with mean 13 hours and standard deviation 2 hours.
some types of periodicals are often browsed on the shelves but seldom purchased. a popular home improvement magazine
Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.
A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. Compute the expected value for the data shown below.
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