5. Prince Charming has to go around town asking if a glass slipper fits until he finds 10 women whose foot fits properly in a slipper (they will compete on a "Bachelor Type" show.) The probability of a glass slipper fitting a randomly selected woman is 0.12, and the probabilities are independent. Let X be the number of women he has to visit until he finds 10 woman who fits the slipper.

How many women should he expect to have to check until he finds 10 women?