Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a chance at winning either a small, medium, or large prize. the wheel is constructed so that the probability that a player wins a small prize, p , is 0.40. if a random sample of 40 players is selected, then ^ p is the proportion of players in the sample who win a small prize. what is the mean of the sampling distribution of ^ p ?