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Suppose that history shows that 60% of college students prefer Brand C cola. A sample of 5 students is to be selected. i. Find the probability that exactly 4 prefer brand C. (1 marks) ii. Find the probability that 2 or fewer prefer brand C. (4 marks) iii. Find the probability that at least 1 prefers brand C is (3 marks) iv. Calculate the mean and variance number that you would expect to prefer brand C. (2 marks) [Total: 10 marks]

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