1) A local lottery costs $15 a ticket, and there are 1000 tickets sold. There is one first prize for $5000, four second prizes of $500 each and twenty third prizes of $25 each. You decide to purchase one ticket. What are your expected winnings?

NOTE/HINT: You should construct the probability distribution table first in order to be able to find the expected value. Remember that the probabilities in a distribution table must add to 1.