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...

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?