According to Harper's Index, 45% of all federal inmates are serving time for drug dealing.

According to Harper's Index, 45% of all federal inmates are serving time for drug dealing. A random sample of 14 federal inmates is selected.
(a) What is the probability that 12 or more are serving time for drug dealing? (Use 3 decimal places.)


(b) What is the probability that 6 or fewer are serving time for drug dealing? (Use 3 decimal places.)


(c) What is the expected number of inmates serving time for drug dealing? (Use 1 decimal place.)