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A pharmaceutical research company states that a drug causes negative side effects in 2 of every 100 patients. To conrm this, another research lab identies

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A pharmaceutical research company states that a drug causes negative side effects in 2 of every 100 patients. To conrm this, another research lab identies 6 people who have consumed the drug at a xed dose. a) Assuming the rst lab's statement is correct, what is the exact distribution of the number of patients who experienced side effects? b) What is the probability that none of the six patients experience side effects? What is the probability that at least two experience side effects? c) What is the Poisson approximation to the distribution in part a? Estimate the probabilities in part b using this approximation. (1) Comment on the differences between your answers to parts b and c

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