a) Discuss the four levels of measurement of variables giving appropriate examples of each category. b) Distinguish between Mutually Exclusive and Independent Events giving business examples of each. c) In 2011, there was a catastrophic act of terrorism that occurred at the Twin Towers in the USA. An explosion and fire razed the Twin Towers to the ground. Some scientists set to investigate soil samples for traces of radioactive particles that could have been released into the atmosphere. To examine the effect of the radioactive contamination on the environment, the levels of contamination (in parts per million) was recorded against the weights in some 10 samples. The following data was recorded: Sample Number Level of Contamination i. ii. 1 2 3 15 18 27 4 29 5 36 38 7 61 Determine the average level of contamination. Calculate the variation of the dataset and interpret its meaning. 8 9 10 58 75 82

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