Problem #7: A system consists of five components is connected in series as shown below.5As soon as one component fails, the entire system will fail. Assume that the components fail independently ofone another.(a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 109weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean128 weeks. Find the probability that the system lasts at least 49 weeks.(b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. Whatmust that mean be (in years) so that 97% of all such systems lasts at least one year?

first two component have lifetime that are exponentially distributed with mean 109 weeks last three…

Answered: A system consists of five components is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least sbx, and (c) less 44% of U.S. adults have very little confidence than four. (a) P(5) = (Round to three decimal places as needed.) (b) P(x26) = (Round to three decimal places as needed.) (c) P(x<4) = (Round to three decimal places as needed.)
A system consists of four components with A, B in series and C, D in parallel connected as shown below in the following diagram. Given that the system above with components in the order A, B, C, and D, from top to down function independently. If the probability that the component A, B, C, and D fail is 0.10,0.05,0.10, and 0.20 respectively. Estimate the probability that the system functions?
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
Sir please help me sir ☺️ urgently
Number 11 plz don’t know
Assume that the batter hits with probability 0.2 against left-handed pitchers, and with probability 0.3 against right-handed pitchers. Both situations are Bernoulli processes. One month the player bats 22 times against left-handed pitchers and 52 times against right-handed pitchers. How many hits should the batter expect to get during this month?
Covid-19 returns a positive result 60% of the time if the individual tested is infected. The same disease returns a negative result 99% of the time if the individual tested is not infected. To ensure better results, Sarah is tested twice over the span of a few days. Assume that the tests are independent and that the individual has a 10% pre-test probability of being infected based on her symptoms. What is the probability that the said individual is infected given that she tested negative twice?
116. For a device to work properly, three subsystems of the device must all function properly. To increase the reliability of the device, spare units may be added to each system. It costs 100 TL to add a spare unit to system 1, 300 TL to system 2, and 200 TL to system 3. As a function of the number of added spares (a maximum of two spares may be added to each system), the probability that each system will work is given in Table. Use dynamic programming to maximize the probability that the device will work properly, given that 600 TL is available for spare units. Identify and explain decision variables, stages, states and formulate a recursion to design the device with optimal reliability. Probability that a system works system 1 Number of spares system 3 system 2 .60 .85 .70 1 .90 .85 .90 2 .95 .95 .98 117. You are planning on moving to a new house. You need to move n items of size aj , j-1,2,.,.n. You have bought m boxes (box i has size bi , i- 1,2,.,m). You need to rent a truck that…
Ab 45 Economics Assume that 5% of the students in 200-level econ courses choose not to ever come to classes. For a 200-level econ course with 60 students in the class,what is the probability that less than 20 students will come?
The circuit shown below operates if and only if there is some path of functional devices from left to right. The probability that each device functions is shown for each device and the devices operate independently of each other. What is the probability that the circuit operates? 0.9 0.9 0.8 0.95 0.95 0.9 (A) None of these (B) 0.5263 (C) 0.1642 (D) 0.9850 (E) 0.9702
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