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Q1. Both undergraduates and postgraduates can use the university cafeteria. Each diner can choose between buying a meal or bringing a packed lunch. (Everyone has exactly one meal each, no more and no less). The cafeteria offers a daily choice between a hot meal or a cold meal. A survey of undergraduate diners finds that 40% of them bring their own food.
Overall, only 25% of the diners bring their own food. Postgraduates make up one fifth of the diners in the cafeteria.
a) What is the probability that a diner is an undergraduate and has bought a meal?
b) What is the probability that someone who has bought a meal is a postgraduate?
c) Give two different examples from the question of mutually exclusive events.
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A social psychologist has developed a test measure gregariousness. The test is normed so that it has a mean of 70 and a standard deviation of 20, and the gregariousness scores are normally distributed in the population of college students used to ..
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The same for each of the four quarters next year. The seasonal factor for the second quarter is 145. Determine the seasonally adjusted sales for the second quarter of next year.
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Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
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