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{"ops":[{"attributes":{"bold":true},"insert":"Q 01:Rolling Two Dice: "},{"insert":"If two dice are rolled one time, findthe probability of getting these results.\n "},{"attributes":{"italic":true},"insert":"a. "},{"insert":"A sum of 6\n "},{"attributes":{"italic":true},"insert":"b. "},{"insert":"Doubles\n "},{"attributes":{"italic":true},"insert":"c. "},{"insert":"A sum of 7 or 11\n "},{"attributes":{"italic":true},"insert":"d. "},{"insert":"A sum greater than 9\n "},{"attributes":{"italic":true},"insert":"e. "},{"insert":"A sum less than or equal to 4\n\u00a0\n"},{"attributes":{"bold":true},"insert":"Q 02:"},{"insert":"Read the following study and answer the questions.\n A baking company selected 36 women weighing different amounts and randomly assigned them\n to four different groups. The four groups were white bread only, brown bread only, low-fat whitebread only, and low-fat brown bread only. Each group could eat only the type of bread assigned tothe group. The study lasted for eight weeks. No other changes in any of the women\u2019s diets wereallowed. A trained evaluator was used to check for any differences in the women\u2019s diets. The resultsshowed that there were no differences in weight gain between the groups over the eight-week period.\n 1. Did the researchers use a population or a sample for their study?\n 2. Based on who conducted this study, would you consider the study to be biased?\n 3. Which sampling method do you think was used to obtain the original 36 women for the\n study (random, systematic, stratified, or clustered)?\n 4. Which sampling method would you use? Why?\n 5. How would you collect a random sample for this study?\n 6. Does random assignment help representativeness the same as random selection does? Explain.\n"},{"attributes":{"bold":true},"insert":"Answer:"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"Q 03:"},{"insert":"Compute the consumer price index number for 2016 on the basis of 2010 from the following data, using "},{"attributes":{"italic":true,"bold":true},"insert":"(i)"},{"insert":" Aggregative Expenditure Method and "},{"attributes":{"italic":true,"bold":true},"insert":"(ii)"},{"insert":" the Household Budget Method.\n"},{"attributes":{"bold":true},"insert":"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"\u00a0"},{"insert":"\n  "},{"attributes":{"bold":true},"insert":"Commodity"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"Quantity consumed"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"in 2010 ("},{"attributes":{"italic":true,"bold":true},"insert":"Q"},{"attributes":{"italic":true,"bold":true,"script":"sub"},"insert":"o"},{"attributes":{"bold":true},"insert":")"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"Prices in 2010 ("},{"attributes":{"italic":true,"bold":true},"insert":"P"},{"attributes":{"italic":true,"bold":true,"script":"sub"},"insert":"o"},{"attributes":{"bold":true},"insert":")"},{"insert":"\n "},{"attributes":{"bold":true},"insert":"Prices in 2016 ("},{"attributes":{"italic":true,"bold":true},"insert":"P"},{"attributes":{"italic":true,"bold":true,"script":"sub"},"insert":"n"},{"attributes":{"bold":true},"insert":")"},{"insert":"\n   Rice\nWheat\nSugar\nOil\n 96\n240\n300\n200\n 50\n25\n40\n70\n 100\n40\n65\n160\n  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n"},{"attributes":{"bold":true},"insert":"Answer:"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"Q 04:\u00a0a) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"insert":"\u00a0A continuous "},{"attributes":{"italic":true},"insert":"r.v.X"},{"insert":" has the "},{"attributes":{"italic":true},"insert":"p.d.f."},{"insert":" as follows:\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Find the value of "},{"attributes":{"italic":true},"insert":"A."},{"insert":"\n\t"},{"attributes":{"bold":true},"insert":"\u00a0\u00a0\u00a0b)\u00a0\u00a0\u00a0\u00a0"},{"insert":"Let X be a random variable with probability distribution\n  "},{"attributes":{"italic":true,"bold":true},"insert":"X"},{"insert":"\n \u00a0-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03\n   "},{"attributes":{"italic":true,"bold":true},"insert":"f(x)"},{"insert":"\n 0.125\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00.50\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00.20\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00.05\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00.125\n  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n\tFind E(X).\n"},{"attributes":{"bold":true},"insert":"Answer:"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"Q 05: a)"},{"insert":"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Let "},{"attributes":{"italic":true},"insert":"A, B"},{"insert":" and "},{"attributes":{"italic":true},"insert":"C "},{"insert":"be event (subsets) in a sample space S defined by\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0List the members of the following events:\n"},{"attributes":{"italic":true,"bold":true},"insert":"(i)"},{"insert":"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"attributes":{"italic":true,"bold":true},"insert":"(ii)"},{"insert":"\n"},{"attributes":{"bold":true},"insert":"b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0"},{"insert":"Calculate the arithmetic mean, median and modal number of persons per house from the following data\n  "},{"attributes":{"bold":true},"insert":"No. of Persons per house "},{"attributes":{"italic":true,"bold":true},"insert":"(X)"},{"insert":"\n 1\n 2\n 3\n 4\n 5\n 6\n 7\n 8\n 9\n 10\n   "},{"attributes":{"bold":true},"insert":"No. of houses\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0("},{"attributes":{"italic":true,"bold":true},"insert":"f)"},{"insert":"\n 26\n 113\n 120\n 95\n 60\n 42\n 21\n 14\n 5\n 4\n  \n"}]}

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