Question: A beverage company has three different formulas for its soft drink product. Tests reveal that 40% of consumers prefer formula I. 25% of consumers prefer

A beverage company has three different formulas for its soft drink product. Tests reveal that 40% of consumers prefer formula I. 25% of consumers prefer formula II. and 35% of consumers prefer formula III. If eight consumers are chosen at random, calculate the probability that:
(a) Exactly two prefer formula I and exactly three prefer formula II.
(b) Exactly three prefer formula I and exactly four prefer formula III.
(c) No more than two prefer formula III.

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