the probability of winning a certain carnival game is 0.18. suppose on a given night, 120 people play this game. a) find the mean and standard deviation of this binomial random variable. b) find the probability that exactly 20 people will win this game. c) can the normal approximation be used? d) find the probability that less than 16 people will win this game. e) find the probability that more than 22 people will win this game.