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1. The following table reports prices and usage quantities for two items in 2009 and 201 1. (20 marks) annuity Unit Price (5) Item 1'09 201] am am A 15111 1m 150 1.15 B 2 1 6301!) mom a. Compute price relatives for each item in 2011 using 2009 as the base period. b. Compute an unweighted aggregate price index for the two items in 2011 using 2009 as the base period. c. Compute a weighted aggregate price index for the two items using the Laspeyres method. d. Compute a weighted aggregate price index for the two items using the Paasche method. 2. Consider the experiment of tossing a coin three times. 3. Develop a tree diagram for the experiment b. List the experimental outcomes. 1What is the probability for each experimental outcome? [4 marks] 3. [a] How many ways can three items be selected from a group of six items? Use the letters A, B, C, D, E, and F to identify the items, and list each of the different combinations of three items. {b} How many permutations of three items can be selected from a group of six? Use the letters AB, C, D, E, and F to identify the items, and list each of the pennutations of items B, I), and F. (10 marks]