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On the leeward side of the island of Oahu, in the small village of Nanakuli, about 85% of the residents are of Hawaiian ancestry. Let n 1, 2, 3, represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli. (a) Write out a formula for the probability distribution of the random variable n. (Use p and n in your answer.) P(n) (b) Compute the probabilities that n 1, n 2, and n 3. (Use 3 decimal places.) P(1) 10.8 P(2) P(3) (c) Compute the probability that n z 4. (Use 3 decimal places.) (d) In Waikiki, it is estimated that about 20% of the residents are of Hawaiian ancestry. Repeat parts (a), (b), and (c) for Waikiki. (Use 3 decimal places.) (a) P(n) (b) P(1) P(2) P(3) (c)

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