Question: 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

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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