According to Harpers Index, 50% of all federal inmates are serving time for drug dealing. A random

Question:

According to Harper’s Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected.
(a) What is the probability that 12 or more are serving time for drug dealing?
(b) What is the probability that 7 or fewer are serving time for drug dealing?
(c) What is the expected number of inmates serving time for drug dealing?