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18. Arrows. An Olympic archer is able to hit the
Chapter 17, Problem 18(choose chapter or problem)
18. Arrows. An Olympic archer is able to hit the bulls-eye80% of the time. Assume each shot is independent of theothers. If she shoots 6 arrows, whats the probability ofeach of the following results?a) Her first bulls-eye comes on the third arrow.b) She misses the bulls-eye at least once.c) Her first bulls-eye comes on the fourth or fifth arrow.d) She gets exactly 4 bulls-eyes.e) She gets at least 4 bulls-eyes.f ) She gets at most 4 bulls-eyes.
Questions & Answers
QUESTION:
18. Arrows. An Olympic archer is able to hit the bulls-eye80% of the time. Assume each shot is independent of theothers. If she shoots 6 arrows, whats the probability ofeach of the following results?a) Her first bulls-eye comes on the third arrow.b) She misses the bulls-eye at least once.c) Her first bulls-eye comes on the fourth or fifth arrow.d) She gets exactly 4 bulls-eyes.e) She gets at least 4 bulls-eyes.f ) She gets at most 4 bulls-eyes.
ANSWER:Step 1 of 7
These may be considered Bernoulli trials. There are only two possible outcomes, hitting the bull's-eye and not hitting the bull'seye. The probability of hitting the bull's-eye is given, 
Let 
Let 
