Assume 55% of the high school students participate in an athletic program. If you randomly choose 100 high school students, answer the following.

a. What is the probability that exactly 50 of the high school students participate in an athletic program?

b. What is the probability that more than 60 of the high school students participate in an athletic program?

c. What is the probability that at most 40 of the high school students participate in an athletic program?

d. What is the mean number of athletes we expect in a group of 100 high school students?

e. What is the standard deviation of the number of athletes in a group of 100 high school students?