A company packages its crystal goblets in boxes having six goblets. Assume that 12% of all its goblets have cosmetic flaws and that condition of any particular goblet with respect to flaws is independent of the condition of any other goblet.
a) What proportion of boxes will contain at least one goblet with cosmetic flaws?
b) What proportion of boxes will contain at least two goblets with cosmetic flaws?
c) What proprtion of boxes with have between one and three goblets, inclusive, with cosmetic flaws?