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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