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An archer is able to hit a​ bull's-eye 81​% of the time. Assume each shot is...

An archer is able to hit a​ bull's-eye 81​% of the time. Assume each shot is independent of the others. Suppose this archer shoots 10 arrows. Complete parts a through e below.

​a) Find the mean and standard deviation of the number of​ bull's-eyes she may get.

The mean is _____

​b) What is the probability that she never​ misses?

c) What is the probability that there are no more than 8 bull's-eyes?

d) What is the probability that there are exactly 8 ​bull's-eyes?

e) ​What is the probability that she hits the​ bull's-eye more often than she​ misses?

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