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Demographics and Population Statistics

There is some evidence to suggest that businesses are moving out of states where unions are prevalent. In California, 18.4% of all workers belong to a union, and in Arkansas, 3.7%. Suppose 20 workers from California and 20 workers from Arkansas are selected at random.

a. Find the probability that at most two California workers belong to a union.

b. Find the probability that none of the Arkansas workers belongs to a union.

c. Find the probability that at least one worker from each state belongs to a union.

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