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Civil Engineering System
34 A system consists of four components connected as shown in the following...
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.
2) A system consists of four components connect as shown in the diagram for problem 35,...
2) A system consists of four components connect as shown in the diagram for problem 35, page 89. Assume A, B, C, and D function independently. If the failure probabilities components A or B are both 0.01 and the probability that C or D fail are 0.02 each, what is the probability that the system functions?
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...
Question 2 (6 points) A system contains two components, A and B, connected in series, as...
Question 2 (6 points) A system contains two components, A and B, connected in series, as shown in the diagram. Assume A and B function independently. For the system to function, both components must function. a. If the probability that A fails is 0.05, and the probability that B fails is 0.03, b. If both A and B have probability p of failing, what must the value of pbe so c. If three components are connected in series, and each...
A system consists of five components is connected in series as shown below. -1 42 43...
A system consists of five components is connected in series as shown below. -1 42 43 44 45 As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 107 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 136 weeks. Find the probability that the...
3. Three components are connected to form a system as shown in the accompanying diagram. Because...
3. Three components are connected to form a system as shown in the accompanying diagram. Because the compo- nents in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. 214 The experiment consists of determining the condition of each component [S (success) for a functioning compo- nent and F (failure) for a...
1. If the probability that C fails is 0.1 and the probability that D fails is 0.12,...
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
Civil Engineering System ** PLEASE HELP WITH THE HIGHLIGHTED PROBLEMS ONLY ( 15 & 19 )...
Civil Engineering System ** PLEASE HELP WITH THE HIGHLIGHTED
PROBLEMS ONLY ( 15 & 19 )
equal to 10. c. As more and more items are sampled, the propor All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be proficient in reading, 78% were found to be proficient in mathematics, and 65% were found to be proficient in both reading and mathematics. A student is chosen at...
a system contains two components, C and D 9. A system contains two components, C and...
a system contains two components, C and D
9. A system contains two components, C and D, connected in parallel as shown in the diagram. Assume C and D function independently. For the system to function, either C or D must function.
A system consists of three components A, B and C, which fails independently with probabilities 0.2,...
A system consists of three components A, B and C, which fails
independently with probabilities 0.2, 03 and 0.2. Let X be the
total number of failed components.
(a) Find the probability distribution of X.
(b) What is the probability that at least one component is
working.
(c) Find E(X^3 − 1).
3. (7 points) A system consists of three components A, B and C, which fails independently with probabilities 0.2, 03 and 0.2. Let X be the total number...
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.
2) A system consists of four components connect as shown in the diagram for problem 35, page 89. Assume A, B, C, and D function independently. If the failure probabilities components A or B are both 0.01 and the probability that C or D fail are 0.02 each, what is the probability that the system functions?
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...
Question 2 (6 points) A system contains two components, A and B, connected in series, as shown in the diagram. Assume A and B function independently. For the system to function, both components must function. a. If the probability that A fails is 0.05, and the probability that B fails is 0.03, b. If both A and B have probability p of failing, what must the value of pbe so c. If three components are connected in series, and each...
A system consists of five components is connected in series as shown below. -1 42 43 44 45 As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 107 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 136 weeks. Find the probability that the...
3. Three components are connected to form a system as shown in the accompanying diagram. Because the compo- nents in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. 214 The experiment consists of determining the condition of each component [S (success) for a functioning compo- nent and F (failure) for a...
1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
Civil Engineering System ** PLEASE HELP WITH THE HIGHLIGHTED
PROBLEMS ONLY ( 15 & 19 )
equal to 10. c. As more and more items are sampled, the propor All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be proficient in reading, 78% were found to be proficient in mathematics, and 65% were found to be proficient in both reading and mathematics. A student is chosen at...
a system contains two components, C and D
9. A system contains two components, C and D, connected in parallel as shown in the diagram. Assume C and D function independently. For the system to function, either C or D must function.
A system consists of three components A, B and C, which fails
independently with probabilities 0.2, 03 and 0.2. Let X be the
total number of failed components.
(a) Find the probability distribution of X.
(b) What is the probability that at least one component is
working.
(c) Find E(X^3 − 1).
3. (7 points) A system consists of three components A, B and C, which fails independently with probabilities 0.2, 03 and 0.2. Let X be the total number...
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