4. A specific type of transistor is known to have a mean time to failure of 10,000 hours.a) What is the probability that the lifetime of a transistor will exceed the mean lifetime?b) What is the probability that a transistor will fail within the first 1,000 hours of use?c) What warranty should a manufacturer of this transistor have, so that only 10% of transistorsare replaced within the warranty?

Answered: Image /qna-images/answer/966c8ef4-53c2-4a07-9ef5-ae2f075b773e.jpg

Answered: 4. A specific type of transistor is…

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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4. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of…
6. Answers must be in 4 decimal places with correct units and complete solution.
1. A machine can be in one of four states: 'running smoothly' (state 1), 'running but needs adjustment' (state 2), 'temporarily broken' (state 3), and 'destroyed' (state 4). Each morning the state of the machine is recorded. Suppose that the state of the machine tomorrow morning depends only on the state of the machine this morning subject to the following rules. • If the machine is running smoothly, there is 1% chance that by the next morning it will have exploded (this will destroy the machine), there is also a 9% chance that some part of the machine will break leading to it being temporarily broken. If neither of these things happen then the next morning there is an equal probability of it running smoothly or running but needing adjustment. • If the machine is temporarily broken in the morning then an engineer will attempt to repair the machine that day, there is an equal chance that they succeed and the machine is running smoothly by the next day or they fail and cause the machine…
53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?
The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 15.7% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? | (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.) d. Do the second and third alarm clocks result in greatly improved reliability? O A. No, because total malfunction would still not be unlikely. O B. No, because the malfunction of both is equally or more likely than the malfunction of one. OC. Yes, because you can always be certain that at least one…
1. A machine can be in one of four states: 'running smoothly' (state 1), 'running but needs adjustment' (state 2), 'temporarily broken' (state 3), and 'destroyed' (state 4). Each morning the state of the machine is recorded. Suppose that the state of the machine tomorrow morning depends only on the state of the machine this morning subject to the following rules. • If the machine is running smoothly, there is 1% chance that by the next morning it will have exploded (this will destroy the machine), there is also a 9% chance that some part of the machine will break leading to it being temporarily broken. If neither of these things happen then the next morning there is an equal probability of it running smoothly or running but needing adjustment. • If the machine is temporarily broken in the morning then an engineer will attempt to repair the machine that day, there is an equal chance that they succeed and the machine is running smoothly by the next day or they fail and cause the machine…
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
When rolling a die 114 times, what is the probability of rolling a 6 greater than 20 times? Question 6 options: 1) 0.0948 2) 0.4395 3) 0.3447 4) 0.0474 5) 0.6553

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