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 a woman who fits the slipper. -
a) how many women should he expect to have to check until he finds 10 women?
b) what is the probability he has to check 75 women?
c) given that he has to check between 75 and 77 women, what is the probability he has to check exactly 75 women?