In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a criticalcomponent has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.0052 and thesystem that utilizes the component is part of(a) Assuming each component's failure/success is independent of the others, what is the probability all three components fail, resulting in disaster for the flight?(b) What is the probabilitytriple modular redundancy.least one of the components does not fail?(a) The probability is.(Round to eight decimal places as needed.)

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Answered: In airline applications, failure of a…

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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Suppose you are a production manager for a small firm that manufactures designer phone cases. Your production facility utilizes three machines. Quality is binary — each phone case is either defective or it is not defective. Each hour, Machines 1, 2, and 3 produce 10, 10 and 20 phone cases, respectively. But because the machines differ slightly in their technology, data on past production has shown that they differ in terms of their rates of defective output — specifically, Machines 1, 2, and 3 have rates of defective production of 2%, 4%, and 5%, respectively. If one phone case is selected randomly from one hour’s total output, and that phone case is found to be defective, what is the probability that it was produced by Machine 1? Machine 2? Machine 3?
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 8.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (b) Assuming his suspicion that 8.7% of his customers buy a magazine is correct, what is the probability that exactly 3 out of the first 14 customers buy a magazine? Give your answer as a decimal number rounded to two digits.
Scenario 3. A researcher creates a new program for college students to reduce feelings of loneliness and enhance students' engagement on campus. This new program helps students to find student groups and clubs that fit their interests. She randomly assigns students to either enroll in this new program (the experimental group) or to not enroll in the program (the control group). She compares students' feelings of engagement between the two groups, and expects that engagement will be higher among the students that are in the program. What is the most appropriate test statistic to use to test the hypothesis in scenario 3? A) z-test B) z-score C) Independent samples t-Test D) Correlation Coefficient E) One-way ANOVA F) Dependent samples t-Test G) Factor Analysis H) Structural Equation Model What is the null hypothesis for scenario 3? A) H0: engagement in the experimental group ≤ engagement in the control group B) H0 : engagement in the experimental group = engagement in the control…
Section 5.3 A computer software company receives hundreds of support calls each day. There are several common installation problems, call them A, B, C, and D. Several of these problems result in the same symptom, lock up after initiation. Suppose that the probability of a caller reporting the symptom lock up is 0.6 and the probability of a caller having problem A and a lock up is 0.5. Step 1 of 2 : Given that the caller reports a lock up, what is the probability that the cause is problem A? Round your answer to four decimal places, if necessary. Step 2 of 2 : What is the probability that the cause of the malfunction is not problem A given that the caller is experiencing a lock up? Round your answer to four decimal places, if necessary.
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.
You are considering purchasing stand-alone shares in two companies: Company A and Company B. While both companies expect a rate of return of 15% under normal market conditions, the possible returns under strong and weak economies differ. There is a 30% chance of a weak economy outcome, a 30% chance of a strong economy outcome, and a 40% chance of a normal outcome. For Company A, under a strong economy, they expect a return of 75%. Under a weak economy, they expect a return of -45%. For Company B, under a strong economy, they expect a return of 23%. Under a weak economy, they expect a return of 7.5%. 1. Create a probability distribution table for both companies. 2. Calculate the standard deviation for both companies. 3. With the distribution, create either a bar graph or a bell curve to graph the two companies. 4. From your calculations, describe which company you would consider investing in, if you were risk averse.

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