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5. Suppose the diagram of an electrical system is as given in the figure below 0.85...
PLEASE EXPLAIN ALL STEPS 4. Suppose the diagram of an electrical system is as given in...
PLEASE EXPLAIN ALL STEPS
4. Suppose the diagram of an electrical system is as given in the figure below. 0.85 0.92 0.95 0.75 (a) What is the probability that the system works? Assume the components fail inde- pendently. Round only your final answer to 3 decimals. (b) Given that the system works, what is the probability that the component C is not working? Round only your final answer to 3 decimals
A circuit system is given in the following figure, where the number in each component represents...
A circuit system is given in the following figure, where the number in each component represents the probability that the component works. Assume the components fail independently. (a) What is the probability that the entire system work? (b) Given that the system works, what is the probability that the component A is not working? 0.7 0.7 0.8 0.8 0.8
step by step procedure a) An electrical system consist of four components as illustrated in Figure...
step by step procedure
a) An electrical system consist of four components as illustrated in Figure 1 below. The system works if components A and B work and either of the components C or D works. The reliability of each component is also shown in figure 1. What is the probability that the entire system works? Figure 0.8 0.9 0.9 0.8
5. The figure below shows an electrical circuit in which each of the components located at...
5. The figure below shows an electrical circuit in which each of the components located at points A, B, C, D, and E is independently working or not working. The probability that a component is working is given by the number in the box. .0.8 Let W: where LEA,B,C,D,E) be the event that component L is working, and let T be the event that a signal is transmitted from the input to the output. . LE {A, B, C, D,...
Suppose a computer system is assembled out of 100 components, and these are completely assembled before...
Suppose a computer system is assembled out of 100 components, and these are completely assembled before the power is ever applied. Assume that the computer fails to work properly if any component fails a) the rate of defects or each component of the system is only 0 22%, what is the probability that the assembled computer works when switched on, assuming the components are independent? b) For the probability that the system works to be 99% what is the largest...
4. A parallel system functions whenever at least one of its components works. Suppose you have...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...
(12 points) Consider the system comprised of three components as shown below. Suppose The lifetime of...
(12 points) Consider the system comprised of three components as shown below. Suppose The lifetime of Component 1 is exponentially-distributed with parameter 11 = 1/10. • The lifetime of Component 2 is exponentially-distributed with parameter 12 = 1/20. • The lifetime of Component 3 is exponentially-distributed with parameter 13 = 1/15. The system is working if both (A) Component 1 is working, and (B) Component 2 or/and Component 3 is working. Compute the probability that the system is still working...
Consider the system of components connected as in the accompanying picture. Components 1 and 2 are...
Consider the system of components connected as in the
accompanying picture. Components 1 and 2 are connected in parallel,
so that subsystem works if and only if either 1 or 2 works; since 3
and 4 are connected in series, that subsystem works if and only if
both 3 and 4 work. If components work independently of one another
and P(component i works) = 0.73 for
i = 1, 2
and = 0.65 for
i = 3, 4,
calculate P(system...
A system consists of four components connected as shown in the following diagram: Assume A, B,...
A system consists of four components connected as shown in the following diagram: Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.11, 0.05, 0.11, and 0.17, respectively, what is the probability that the system functions? Round the answer to four decimal places.
PLEASE EXPLAIN ALL STEPS
4. Suppose the diagram of an electrical system is as given in the figure below. 0.85 0.92 0.95 0.75 (a) What is the probability that the system works? Assume the components fail inde- pendently. Round only your final answer to 3 decimals. (b) Given that the system works, what is the probability that the component C is not working? Round only your final answer to 3 decimals
A circuit system is given in the following figure, where the number in each component represents the probability that the component works. Assume the components fail independently. (a) What is the probability that the entire system work? (b) Given that the system works, what is the probability that the component A is not working? 0.7 0.7 0.8 0.8 0.8
step by step procedure
a) An electrical system consist of four components as illustrated in Figure 1 below. The system works if components A and B work and either of the components C or D works. The reliability of each component is also shown in figure 1. What is the probability that the entire system works? Figure 0.8 0.9 0.9 0.8
5. The figure below shows an electrical circuit in which each of the components located at points A, B, C, D, and E is independently working or not working. The probability that a component is working is given by the number in the box. .0.8 Let W: where LEA,B,C,D,E) be the event that component L is working, and let T be the event that a signal is transmitted from the input to the output. . LE {A, B, C, D,...
Suppose a computer system is assembled out of 100 components, and these are completely assembled before the power is ever applied. Assume that the computer fails to work properly if any component fails a) the rate of defects or each component of the system is only 0 22%, what is the probability that the assembled computer works when switched on, assuming the components are independent? b) For the probability that the system works to be 99% what is the largest...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
Problem #7: Suppose that 26% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 175 shafts, find the approximate probability that between 37 and 53 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 175 shafts, find the approximate probability that at least 49 are nonconforming and can be reworked. Problem #8: A system consists of five components...
(12 points) Consider the system comprised of three components as shown below. Suppose The lifetime of Component 1 is exponentially-distributed with parameter 11 = 1/10. • The lifetime of Component 2 is exponentially-distributed with parameter 12 = 1/20. • The lifetime of Component 3 is exponentially-distributed with parameter 13 = 1/15. The system is working if both (A) Component 1 is working, and (B) Component 2 or/and Component 3 is working. Compute the probability that the system is still working...
Consider the system of components connected as in the
accompanying picture. Components 1 and 2 are connected in parallel,
so that subsystem works if and only if either 1 or 2 works; since 3
and 4 are connected in series, that subsystem works if and only if
both 3 and 4 work. If components work independently of one another
and P(component i works) = 0.73 for
i = 1, 2
and = 0.65 for
i = 3, 4,
calculate P(system...
A system consists of four components connected as shown in the following diagram: Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.11, 0.05, 0.11, and 0.17, respectively, what is the probability that the system functions? Round the answer to four decimal places.
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