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An olympic archer is able to hit bull's-eye 80% of the time. assume each shot is independent of the others. if she shoots 6 arrows, what's the probability of each of these results?

she gets at least 4 bull's-eyes?
she gets at most 4 bull's-eyes?
how many bull's-eyes do you expect her to get?
with what standard deviation?
if she keeps shooting arrows until she hits the bull's-eye, how long do you expect it will take?

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