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Please help, just need answers Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in

Please help, just need answers

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Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small village, about 76% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, represent the number of people you must meet until you encounter the rst person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. P(n) =| | (b) Compute the probabilities that n = 1, n = 2, and n = 3. (Round yOur answers to three decimal places.) P(l) = 0.760 P(Z) = 0.132 P(3) = 0.044 (c) Compute the probability that n 2 4. Hint: P(n 2 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3). (Round y0ur answer to three decimal places.) 0.014 (cl) In a more urban part of Oahu, it is estimated that about 6% of the residents are of Hawaiian ancestry. Repeat parts (a), (b), and (c) for this part of the island. (i) Write out a formula for the probability distribution of the random variable n. P(n) = l l (ii) Compute the probabilities that n = 1, n = 2, and n = 3. (Round your answers to three decimal places.) P(1) = P(Z) = P(3) = (iii) Compute the probability that n 2 4. Hint: P(n 2 4) = 1 P(n = 1) P(n = 2) P(n = 3). (Round yOur answer to three decimal places.)

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