Suppose that the number of men equals the number of women, and that Vera is last on the preference list of every man. Prove that under every stable matching, Vera is matched to the same man. Who is the unlucky guy?

What is the difference between simple linear and multiple regressions? Give an example of a situation where linear regression might be useful? Give an example of a situation where multiple regression might be useful?

The UMUC MiniMart sells five different types of coffee mugs. The manager reports that the five types are equally popular. Suppose that a sample of 500 purchases yields observed counts 110, 100, 110, 100, and 80 for types ...

A survey of 68 courses delivered fully online found a mean of 13.5 videos with a standard deviation of 2.81. You can assume that the number of videos in an online course is normally distributed. Find the 89% confidence i ...

Tables or Graphs Using the Internet, the text, or another reliable source such as a newspaper or periodical site, (not a scholastic or school site like Khan Academy and not Wikipedia), research some important data that h ...

Discuss the beginnings of the Cold War. From the position of a Soviet ruler, how might you have viewed the situation following WWII? How did the Truman administration attempt to handle it? (Include as many of the followi ...

Suppose that a population of size 3n is partitioned into three subsets: n contractors, n carpenters, and n plumbers. Each person in this population has two preference relations: a preference relation over each one of the ...

Repeat given Exercise, using the following Aumann model of incomplete information with beliefs: N = {I, II}, Y = {1, 2, 3, 4, 5}, F I = {{1, 2}, {3, 4}, {5}}, F II = {{1, 3, 5}, {2}, {4}} P(ω) = 1/5, ∀ ω ∈ Y. for A = {1, ...

Gary is at the top of Gail's preference list, and Gail is at the top of Gary's preference list. Prove that in every stable matching Gary and Gail are matched to each other.

1) Use your own random (μ, σ) to generate four sets of (normaldistribution based) random numbers (i.e., samples) of sizes n = 5, 20, 80, and 320, respectively. 2) Calculate the means and standard deviations for the 4 sa ...

