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6. A recent study claims that 33% of Canadians will suffer from some form of mental illness in their lifetime. Suppose you obtain a random

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6. A recent study claims that 33% of Canadians will suffer from some form of mental illness in their lifetime. Suppose you obtain a random sample of 8 Canadians. a) What is the probability that more than 6 of your subjects will suffer from mental illness during their lifetime? (4- marks] b] What is the probability that at least 2 of your subjects will suffer from mental illness during their lifetime? (4 marks) c] How many subjects do you expect to suffer from mental illness during their lifetime? (2 marks) (:1) Obtain the standard deviation of the number of subjects to suffer from mental illness during their lifetime. (2 marks]

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