7. Suppose you order a new pair of swimming goggles and that they will be manufactured with a defectmaking them leaky with probability 1/40.(a) What is the probability of receiving a defective pair, and then again receiving a defective pairwhen you re-order the goggles?(b) What assumption did you make in order to compute your answer to part (a)?(c) What is the probability that you receive a defective pair and then a functioning pair when youre-order the goggles?(d) Give the probability in terms of K that you receive K defective pairs of goggles, where K > 1.

Answered: Image /qna-images/answer/6be3b55c-e51e-4212-8219-215c32a50f5d.jpg

Answered: 7. Suppose you order a new pair 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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(i) If volume is high this week, then next week it will be high with a probability of 0.9 and low with a probability of 0.1.(ii) If volume is low this week then it will be high next week with a probability of 0.5.Assume that state 1 is high volume and that state 2 is low volume. 1. If the volume this week is high, what is the probability that the volume will be high two weeks from now? 2. What is the probability that volume will be high for three consecutive weeks?
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
The probability that an international flight leaving the United States is delayed in departing (event D) is .32. The probability that an international flight leaving the United States is a transpacific flight (event P) is .50. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .16. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) may I get a breakdown on how to find the answer to this question please?
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?
In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)
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Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?
The probability that an international flight leaving the United States is delayed in departing (event D) is 26. The probability that an international flight leaving the United States is a transpacific flight (event P) is .54. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is 14. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are Dand Pindependent?

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