Suppose we have a bag with 10 slips of paper in it. Eight of these have a 3 on them and the other two have a 9 on them.
a) What is the expected value of the number shown if we add two additional 9's (instead of just one) to the bag?
b) How many 9's do we have to add to make the expected value equal to 6?
c) How many 9's do I have to add before the expected value is at least 8?