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A circuit system is given in the following figure, where the number in each component represents...
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,...
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
The probability of A, B, C, and D all equal .98. Please show calculations. 2.3 Conditional...
The probability of A, B, C, and D all equal .98. Please show
calculations.
2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...
5. Suppose the diagram of an electrical system is as given in the figure below 0.85...
5. Suppose the diagram of an electrical system is as given in the figure below 0.85 0.92 0.95 (a) What is the probability that the system works? Assume the components fail inde- pendently. Round only your final answer to 3 decimals (b) Gien that the system works, what is the probability that the component C is not working? Round only your final answer to 3 decimals
Question 4 [20 marks] A system consists of five components in two branches as shown in...
Question 4 [20 marks] A system consists of five components in two branches as shown in the following diagram: C-D-E- In other words, the system works if components A and B work or components C, D, and E work. Assume that the components fail independently with the following probabilities: P(A fails) = P(B fails) = 0.1 and P(C fails) = P(D fails) = P(E fails) = 0.2. (a) What is the probability that the system works? (b) Given that the...
An electronic control system contains 10 components that work independently of one another, and is capable...
An electronic control system contains 10 components that work independently of one another, and is capable of working normally if at most two components fail. Due to unfavorable climate conditions, each component has a failure probability of 20%. What is the probability that the system as a whole works?
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
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...
The system shown in the figure below is made up of 4 components (A.B.C.D)
The system shown in the figure below is made up of 4 components (A.B.C.D) that operate independently of each other. It each component has the probability of working equals 0.91.Pride probability that the system is working
Please explain as much as you can. Thank you 4. Consider the following circuit made of...
Please explain as much as you can. Thank
you
4. Consider the following circuit made of four identical electronic components A, B, C, and D, each with the reliability (probability that it works) specified in the appropriate box. The circuit operates if and only if there is a path of functional devices from left to right. Assume that the four components work independently. 0.99 0.90 0.95 0.93 What is the reliability of the whole system (probability that the circuit operates)?
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,...
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
The probability of A, B, C, and D all equal .98. Please show
calculations.
2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...
5. Suppose the diagram of an electrical system is as given in the figure below 0.85 0.92 0.95 (a) What is the probability that the system works? Assume the components fail inde- pendently. Round only your final answer to 3 decimals (b) Gien that the system works, what is the probability that the component C is not working? Round only your final answer to 3 decimals
Question 4 [20 marks] A system consists of five components in two branches as shown in the following diagram: C-D-E- In other words, the system works if components A and B work or components C, D, and E work. Assume that the components fail independently with the following probabilities: P(A fails) = P(B fails) = 0.1 and P(C fails) = P(D fails) = P(E fails) = 0.2. (a) What is the probability that the system works? (b) Given that the...
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
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...
Please explain as much as you can. Thank
you
4. Consider the following circuit made of four identical electronic components A, B, C, and D, each with the reliability (probability that it works) specified in the appropriate box. The circuit operates if and only if there is a path of functional devices from left to right. Assume that the four components work independently. 0.99 0.90 0.95 0.93 What is the reliability of the whole system (probability that the circuit operates)?
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