probability
A system is made of three components as given in the diagram below. Component A operates properly with probability 0.8, while each of B and C is operational with probability 0.9. The three components operate independently of each other. The probability that the whole system is operates properly is
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probability
A system is made up of three components placed in parallel that operate simultaneously. The probability that component no. 1 functions is equal to 0.9. In the case of component no. 2, this probability is equal to 0.95 if component no. 1 functions, and to 0.8 otherwise. Finally, the probability that component no. 3 functions are equal to 0.99 if components nos. 1 and 2 functions, to 0.75 if components nos. 1 and 2 do not function, and to 0.8...
A system of comprised of three independent components. The probability of failure for each component is...
A system of comprised of three independent components. The
probability of failure for each component is given,
D4 MORE NON-CAR (6) 3. A system comprised of thrce independent components. The probability of failure for each component is given. #2.2 #3.3 #1 .1 Use our standard Noration: A,, A2, A3, A [system operates properly) a) Find the probability that the system operates properly. b) Find the probability that at most two of the components work. (event B) c) Find the probability...
please help ... 4-23 The guidance system design of a satellite places several components in parallel....
please help ...
4-23 The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, 4 such components are placed in parallel. If the probability of a component operating successfully is 0.9, what is the probability of the system functioning? What is the probability of the system failing? Assume that the components operate independently of each other.
(6) 3. A system comprised of three independent components. The probability of failure for each component...
(6) 3. A system comprised of three independent components. The probability of failure for each component is given. #2 .2 #3.3 # 1 .1 A2,A3,A Use our standard Notation: Ali (system operates properly} a) Find the probability that the system operates properly. b) Find the probability that at most two of the components work. (event B) c) Find the probability that the system operates properly if at most two of the components work.
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
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if...
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
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...
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
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of ea...
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
A system of comprised of three independent components. The
probability of failure for each component is given,
D4 MORE NON-CAR (6) 3. A system comprised of thrce independent components. The probability of failure for each component is given. #2.2 #3.3 #1 .1 Use our standard Noration: A,, A2, A3, A [system operates properly) a) Find the probability that the system operates properly. b) Find the probability that at most two of the components work. (event B) c) Find the probability...
please help ...
4-23 The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, 4 such components are placed in parallel. If the probability of a component operating successfully is 0.9, what is the probability of the system functioning? What is the probability of the system failing? Assume that the components operate independently of each other.
(6) 3. A system comprised of three independent components. The probability of failure for each component is given. #2 .2 #3.3 # 1 .1 A2,A3,A Use our standard Notation: Ali (system operates properly} a) Find the probability that the system operates properly. b) Find the probability that at most two of the components work. (event B) c) Find the probability that the system operates properly if at most two of the components work.
5. A system consisting of n components is said to be a k-out-of-n system (ksn) if the system functions during a given mission time if and only if at least k of the n components function. Suppose that all components function independently of each other. a) If the ith component functions with probability P, i-1,2,3 derive the formula for the probability that a 2-out-of-3 system functions. b) Repeat part a) for a 3-out-of-4 system. c) Calculate the probability that the...
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...
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
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
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