Use the geometric probability distribution to solve the following problem.On the leeward side of the island of Oahu, in a small village, about 70% 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.(a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.)P(n) =(b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.)P(1) =P(2) =P(3) =(c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3). (Enter a number. Round your answer to three decimal places.)(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.)residentsNeed Help?Read It

Let p be the probability that a person is of Hawaiian ancestry. Given that p = 0.70 Let N denote the…

Answered: On the leeward side of the island of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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On the leeward side of the island of Oahu, in a small village, about 89% 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. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.)P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.)P(1) = P(2) = P(3) = (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents
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