Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table given the number of people (in thousands) who visited Australia and South Africa in 2020. Australia South Africa To North America From Central and South America Europe 450 Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019. Australia South Africa 1,000 160 1,660 Take A to be the 3x2 matrix whose entries are the 2019 tourism figures (in thousands) and take to the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands). (a) Compute the matrix B-A. To North America From Central and South America Europe What does this matrix represent? 230 50 It represents changes in number of visitors in 2019 It represents changes in number of visitors in 2020. 100 20 440 430 110 1,550 It represents changes in number of visitors over the period 2020-2021. It represents changes in number of visitors over the period 2019-2020 (b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and 8) that gives the number of visitors from the three regions to Australia and South Africa in 2021

*42. Smartphone Ownership. The Pew Internet & American Life Project compiles data on smartphone ownership and publishes the results in the document Smartphone Ownership. The first two columns of the following table provide a percentage distribution for age of U.S. adults. The third column of the table shows the percentage of people in each age group who own a smartphone. Age group (years) Percentage of adults Percentage who own a smartphone 18–24 12.5 79 25–34 18.0 81 35-44 16.7 69 45–54 17.5 55 55–64 16.4 39 65+ 18.9 18 Suppose that a U.S. adult is selected at random. Determine the prob- ability that the person selected a. owns a smartphone, given that he or she is between 18 and 24 years old.

5. The graph below shows the LFPR for 25-54 year old men over several decades. Percent 100 May-16 98 96 94 92 90 88 86 1948 1954 1960 1966 1972 1978 1984 1990 1996 2002 2008 2014 Source: Bureau of Labor Statistics, Current Population Survey; CEA calculations. (Source: Voxeu.org) It shows that the fraction of these "prime working age men" who are NOT in the labor forced has a. doubled b. tripled c. quadrupled d. not changed

The table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org. Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.7 1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…