1. (28 points) The following are based on data I pulled on the 2014 midterm election in the United States

42% of people eligible to vote voted.

14.4% of people eligible to vote were aged 18-25.

2.5% of people eligible to vote were 18-25 year olds who voted.

We randomly choose someone who is eligible to vote:

• Let Y be the event that the person is aged 18-25.
• Let V be the event that the person actually voted

1. (a)Are Y and V independent?
2. (b)Given that a person is 18-25, find the probability that they voted.
3. (c)Given that someone voted, find the probability that they are 18-25 and the probability that they are over 25 (people under 18 cannot vote, so Y c is the event you picked an eligible voter over 25)
4. (d)Given that someone did not vote, find the probability that they are 18-25 and the proba- bility that they are over 25.