Past car sales experience has shown that 18% of all luxury cars sold are black. If 48 recent sales of luxury model cars are randomly selected, find the following probabilities:
a. At least 2 cars are black.
b. Exactly 6 of the cars are black.
c. Between 1 and 4 cars (inclusive) are black.
d. No more than 3 cars are black.
e. More than 43 of the cars are not black.
f. On average, how many of the recent sales of luxury cars would you expect to be black?