An Olympic archer is able to hit the bull's-eye 86% of the time. Assume each shot is independent of the others. She shoots 6 arrows. a) How many bull's-eyes do you expect her to get? b) What is the standard deviation? c) If she keeps shooting arrows until she hits the bull's-eye, how long do you expect it will take? a) The expected number of bull's-eyes is . (Round to two decimal places as needed.) b) The standard deviation is . (Round to two decimal places as needed.) c) The expected number of shots is . (Round to two decimal places as needed.)
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However, the question does not specify how many arrows she shoots, so we cannot calculate a specific number. If we assume she shoots 100 arrows, for example, we would expect her to hit about 86 bull's-eyes. Show more…
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Consider our archer from Exercise 18. a) How many bull’s-eyes do you expect her to get? b) With what standard deviation? c) If she keeps shooting arrows until she hits the bull’s eye, how long do you expect it will take?
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