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QUESTION 3 (20 Marks) a) Discuss with the example three conceptual approaches to probability. (6 Marks) b) A traffic management company wants to conduct a study on proportion of trucks that use a single roadway between 8am and 9am. A traffic camera records the details of every vehicle and produces a list of data. There are 1000 vehicles are recorded within the hour on one day. The company uses a systematics sampling technique to select a random sample of 5% of the data for their research. Determine which vehicles will be in the sample. (8 Marks) c) The number of items returned to a leading retailer by its customers was recorded for the last 25 days. 21 8 17 22 19 18 19 14 17 11 6 21 25 19 9 12 16 16 10 29 24 6 21 20 25 i. Construct a frequency distribution table for above data. Use five class intervals with the lower boundary of the first class being five days. (3 Marks) ii. Draw a relative frequency histogram for the above data and explain the relationship between the area under the histogram and the relative frequencies of the observation