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Find standard deviation of the number of bull-eyes

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Reference no: EM131742821

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.

Reference no: EM131742821

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