2. A prominent physician claims that 70% of patients with lung cancer are chain smokers..Suppose that 10 patients with lung cancer are admitted to a hospital.
(a) Which assumption/s is/are most likely to be violated if this is a binomial experiment?Explain briefly. (1 mark)
b) Define the random variable ?.
c) Calculate the probability that no more than half of the patients are chain smokers. (1 mark)
d) Calculate the probability that more than average number of patients are non-chain smokers. (1.5 marks)
e) Calculate the probability that none of the patients are non-chain smokers.
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