And more tennis. Suppose the tennis player in Exercise 27 serves 80 times in a match.
a) What are the mean and standard deviation of the number of good first serves expected?
b) Verify that you can use a Normal model to approximate the distribution of the number of good first serves.
c) Use the 68-95-99.7 Rule to describe this distribution.
d) What's the probability she makes at least 65 first serves?
Exercise 27
Tennis, anyone? A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If she serves 6 times, what's the probability she gets
a) all 6 serves in?
b) exactly 4 serves in?
c) at least 4 serves in?
d) no more than 4 serves in?