3. A certain tennis player makes a successful first serve 70% of the time. Assume that each service is independent of the others. If she serves 6 times.

a. Calculate the probability that she gets all 6 serves.

b. Calculate the probability that she gets at least 4 serves.

c. Calculate the probability that she gets no more than 4 serves.

d. Assume that she serves 80 times, calculate the mean and standard deviation of the number of good first serves.

e. Verify that you can use a Normal model to approximate the distribution of fo the number of good first serves.

f. Based on part e, what's the probability that she makes at least 65 first serves?