6. A recent study claims that 35% of Canadians will suffer from some form of mental illness in their lifetime. Suppose you obtain a random sample of 10 Canadians. a) What is the probability that more than 8 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) d) Obtain the standard deviation of the number of subjects to suffer from mental illness during their lifetime. (2 marks)