Archery. A champion archer can generally hit the bull’s-eye 80% of the time. Suppose she shoots 200 arrows during competition. Let pn represent the percentage ofbull’s-eyes she gets (the sample proportion).a) What are the mean and standard deviation of thesampling distribution model for pn?b) Is a Normal model appropriate here? Explain.c) Sketch the sampling model, using the 68–95–99.7 Rule.d) What’s the probability that she gets at least 85%bull’s-eyes?

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Archery. A champion archer can generally hit the bull’s-
eye 80% of the time. Suppose she shoots 200 arrows
during competition. Let pn represent the percentage of
bull’s-eyes she gets (the sample proportion).
a) What are the mean and standard deviation of the
sampling distribution model for pn?
b) Is a Normal model appropriate here? Explain.
c) Sketch the sampling model, using the 68–95–99.7 Rule.
d) What’s the probability that she gets at least 85%
bull’s-eyes?
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