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Suppose that 20% of all individuals have an adverse reaction to a particular drug. a medical researcher will administer the drug to one individual after another until the kth adverse reaction occurs, at which point the experiment will terminate.

a) k=1 What is the probability that when the experiment terminates, four individual have not had adverse reactions?

b) k=1 what is the probability that the drug is administered to exactly 6 individuals.

c) k=5 what is the probability that fewer than 9 individuals have not had adverse reactions when the experiment terminates?

d) k=7 How many individuals would you expect the drug to haven administered to?

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