Reference no: EM131648401

Question: More arrows. Consider our archer from Exercise.

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'seye, how long do you expect it will take?

Exercise: Arrows. An Olympic archer is able to hit the 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 the following results?

a) Her first bull's-eye comes on the third arrow.

b) She misses the bull's-eye at least once.

c) Her first bull's-eye comes on the fourth or fifth arrow.

d) She gets exactly 4 bull's-eyes.

e) She gets at least 4 bull's-eyes.

f ) She gets at most 4 bull's-eyes.