Three random variables X, Y, and Z, are described below. In which of these situations would it be acceptable to use the binomial distribution? I: A bag contains 4 blue marbles and 8 red marbles. Five marbles are drawn at random with replacement. The random variable X is the number of blue marbles drawn. II: A bag contains 4 blue marbles and 8 red marbles. Six marbles are drawn at random without replacement. The random variable Y is the number of blue marbles drawn. III: A bag contains 30 blue marbles and 38 red marbles. Three marbles are drawn at random without replacement. The random variable Z is the number of blue marbles drawn.

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