According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why? Fourteen jurors are randomly selected from a population of 4 million residents. Of these 4 million residents, it is known that 49% are of a minority race. Of the 14 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 14 jurors are randomly selected from a population where 49% are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue?

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