One thousand raffle tickets are sold at $2 each. Three prizes of $200 and two prizes of $100 will be awarded. Assume that the probability that any given ticket is selected for a $200 prize is 3/1000 and the probability that any given ticket is selected for a $100 prize is 2/1000.

(a) Determine the expectation of a person who purchases a ticket. 

(b) Determine the expectation of a person who purchases three tickets.