Question: Still more arrows. Suppose our archer from Exercise shoots 10 arrows.
a) Find the mean and standard deviation of the number of bull's-eyes she may get.
b) What's the probability that she never misses?
c) What's the probability that there are no more than 8 bull s-eyes?
d) What's the probability that there are exactly 8 bull seyes?
e) What's the probability that she hits the bull s-eye more often than she misses?
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.