The Sweet Leaf Iced Teas Company is sponsoring a conventional bottle-cap sweepstakes game. Under each bottle cap is a note either saying, "You are not a winner," or identifying the prize awarded. Suppose 200 of the game bottles are placed on a shelf in the supermarket, and 20 of them are winners. A customer randomly selects 24 bottles from the shelf.

1. a)What is the probability of selecting no winning bottles? (0.5 marks)
2. b)What is the probability of selecting more than 5 winning bottles? (1 mark)
3. c)What is the mean number of winning bottles selected? (0.5 marks