Author: Anonymous

According to Ch. 8 of the textbook, which method of apportionment satisfies all of the fairness criteria?

A healthcare provider has three locations: North, Central, and West. The number of residents each office serves is shown below. There are 90 nurses available in total. Using Hamilton’s Method, determine how many nurses should be assigned to each office.  Write ONLY your answers (the last column) in the response box. Show your work which justifies your answer ON YOUR PAPER. Be sure to answer the question according to what was covered in this course. Do not include anything extra.  Office Residents Quota Min. Q. Remainder Nurses North 31,600 Central 43,000 West 65,400 Total 140,000  

Suppose that a musical instrument is tuned to A4=440 cps (cycles per second). The note one octave higher, A5, is 880 cps. The note another octave higher, A6, isnot 1760 cps. 

Find the probability that a family has at least one boy assuming that they have two children. (You may assume that the probability of a child being a boy is 0.5, or 50%.)

Suppose that the number of people infected with measles in a certain metropolitan area has been doubling every week, and there are 3,200 infected people today. When were there only 100 infected people in that country?

Yet another department is also facing the same options, and their preference schedule is below. This time, use the Condorcet Method to determine the winner if there is one. If there is no Condorcet winner, explain why. [Don’t use the Borda method, which uses points.] # of votes 5 10 9 3 1st choice R H F H 2nd choice H R H F 3rd choice F F R R Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER. Be sure to answer the question according to what was covered in this course. Do not include anything extra. 

The Fibonacci sequence starts with 1, 1, 2, 3… and contains the number 155. 

A is the data set {100, 200, 300, 400, 500}.  Make up another data set, B, such that B has the same mean as A, has exactly five numbers as A does, and has a smaller standard deviation than A.  Write your answer in the box below. You do not have to show your work for this problem. 

Suppose that scores of a certain standardized test is normally distributed with a mean of 70 and a standard deviation of 7. Find the probability that a random score is less than 77. Use the table below. Use a decimal number (for instance, if the probability is 60%, use 0.6).  Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER.

Suppose you are financing $500,000 to buy a house. The amount of your monthly payment will be less with a 15-year mortgage compared with a 30-year mortgage.