A research team conducted a study showing that 72% of all high school students do not eat breakfast each morning.
a. If 4 students are selected at random, find the probability that exactly 3 of the 4 students do not eat breakfast each morning.
b. If 4 students are selected at random, find the probability that 1 or less students do not eat breakfast each morning.
c. If several classes of 32 students are selected, what is the average (mean) number of students that would not eat breakfast each morning?
d. If several classes of 32 students are selected, what is the standard deviation of students that would not each breakfast each morning?