In: Statistics and Probability
1. Assume that 13% of people are left-handed. Suppose 8 people are selected at random. Answer each question about right-handers below.
a) Find the mean and standard deviation of the number of right-handers in the group.
b) What's the probability that they're not all right-handed?
c) What's the probability that there are no more than 5 righties?
d) What's the probability that the majority is right-handed?
2. A certain tennis player makes a successful first serve 64% of the time. Assume that each serve is independent of the others. If she serves 9 times, what's the probability she gets
a) all 9 serves in?
b) exactly 8 serves in?
c) at least 7 serves in?
d) no more than 4 serves in?