FIVE (20 Marks) a) The table below outlines the marks obtained by two students Ken and Rose. The weights are used to determine those who will graduate. The pass mark for graduation is a weighted mean of 58 on the four subjects. Use the weighted mean to determine who will graduate and who will not. (6 Marks) SUBJECT BUSINESS INFORMATION LIFE FINANCIAL STATISTICS TECHNOLOGY SKILLS MANAGEMENT ROSE KEN 25 70 WEIGHT 3.6 87 45 2.3 83 30 35 75 1.5 2.6 b) An elevator can carry 9800 pounds. A load of cargo containing 49 boxes must be transported via the elevator. Taking the mean = 205 pounds and the standard deviation 6=15 pounds. What is the probability that all the 49 boxes can be safely loaded onto the freight elevator? (4 Marks) c) A marketing research firm wants to estimate the share that foreign companies have in the Kenyan Market for certain products. A random sample of 100 consumers is obtained and it is found that 34 people in the sample are users of foreign-made products. The rest of the users are using domestic products. Give a 95% confidence interval for the share of foreign products in the market (10 Marks)