Suppose a box contains 5,000 tickets: 2,000 labeled 5 and 3,000 labeled -5. We are going to draw 1000 times with replacement from the box and keep track of the sum of the values on the tickets.

Which of the following are TRUE statements?

1. the sum must fall between -5000 and 5000

2. sum expected to be close to -1000 but not exactly -1000

3. expect to get a sum of -1000 but small chance that we could get something different.

4. average of ticket values in the box = -1

5. we will get 400 tickets labeled 5.