1) A small company is divided in four departments: Sales (S), Customer Services (CS), Marketing (M), and Admin (A). In each there is staff and managers. Given the following table of percentages, what is the probability that a randomly selected employee, known to be in the Marketing department, is staff? S CS M A Staff 35.1% 30.2% 19.2% 4.5% Managers 4.9% 3.8% 1.8% 0.5% 0.89 0.21 0.857 0.914 For the problem in question 1, what is the probability that a randomly selected staff employee is in Sales department? 0.394 0.445 0.351 0.40 For the problem in question 1, what is the probability that a randomly selected employee is in the sales or in the marketing department? 0.50 0.610 0.067 0.543 2) The Global Competitiveness Index (GCI) is yearly published by the World Economic Forum, integrating macroeconomic and micro/business aspects of competitiveness. Please use the following data to complete the following question. We want to examine how we might have used 2016 to predict 2017. Describe the association between the indices. Count ry Index_2 016 Index_2 017 1 116.4 120.8 2 125.5 129.8 3 107.7 110.3 4 100.4 108.4 5 106.6 118.4 6 115.7 118.4 7 96.2 103.5 8 110.3 110.8 9 101.8 110.5 10 99.1 100.7 11 121.9 126 12 117.6 119.6 13 110 121.6 14 116.9 126.8 15 109.6 118.6 16 97.1 105.5 17 94.2 101.9 18 119.5 125.6 19 117.7 126.4 20 103.3 111.5 The association between the GCI in 2017 and 2016 is positive, linear, and weak. The association between the GCI in 2017 and 2016 is negative, linear, and weak. The association between the GCI in 2017 and 2016 is negative, linear, and strong. The association between the GCI in 2017 and 2016 is positive, linear, and strong. For the problem in question 2, what percentage of the variability in the dependent variable is explained by the independent variable? 100% 93.26% 86.98% 90.68%