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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(vi) A coffee shop conducted a survey, which determined that of all customers: 70% puts sugar in their coffee, 35% adds milk, and 25% use both. Suppose a customer is selected at random. The probability that this customer uses exactly one of these two items is
A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there are 7 who have bought too much alcohol on duty-free and none of them informs the customs officers about it. Customs officers randomly select 5 people from these 20 students for control. We let the variable X be the number of students among the 5 selected who have bought too much alcohol. (a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?
On the leeward side of the island of Oahu, in a small village, about 81% 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.)
You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6, Pr(B) = 0.5, Pr(C) = 0.4, and Pr(D) = 0.3. Find the probability that at least two events of these events happen. O 0.2908 O 0.4684 O 0.3748 O 0.7092 O 0.6140
If you used a random number generator for the numbers from 1 through 20 to play a game, whatis the theoretical probability of getting each of these outcomes? a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7) b. P(even or odd) c. P(prime or 1) d. How did you find the probabilities of these events?
Q. At a certain college data show that 45% of all students are men,10% of the student body consists of women majoring in Statistics, and 35% of all students major in Statistics. A student is selected at random. What is the probability, that the selected student çonolition (i) is a woman if the selected student is a Statistics major? (ii) majors in Statistics if the selected student is a woman?
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Answer number 27 only
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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