![(5) 5. A system comprised of three independent components. The probability of failure for each component is given. (Use our standard notation: Ai, i 1,2,3; A.) #1 .1 #2 .2 #3 .3 a) Find the probability that the system works - [A]. b) Find the probability that exactly one component works B c) Find the probability that at least one component works [C.](http://img.homeworklib.com/questions/0f5120e0-4f00-11ea-91aa-95c22cfe60cd.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
(5) 5. A system comprised of three independent components. The probability of failure for each component...
Part c (6) 6. A system comprised of three independent components. The probability of failure for...
Part c
(6) 6. A system comprised of three independent components. The probability of failure for each component is given. (Use our standard notation: Ai, i 1,2, 3; A.) #1 .1 #3 .3 a) Find the probability that the system works (A). b) Find the probability that at least one component works (B e) Find the probability that the system works, given that at least one component wor ks.
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...
(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.
2, (20%) A particular operation has six components. Each component has a failure probability q, independent of any othe...
2, (20%) A particular operation has six components. Each component has a failure probability q, independent of any other component. The operation is successful if both of the following conditions hold: Component 1, 2, and 3 all work, or component 4 works. Either component 5 or component 6 works. The block diagram of this operation is shown below. b. (10%) Suppose we can replace one of the components with a more reliable component that has failure probability of q/2 Which...
Problem 4 Consider the system of components connected as depicted below. The system can be thought...
Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is,...
A parallel system consisting of 4 independent components works if at least one component works. However,...
A parallel system consisting of 4 independent components works if at least one component works. However, a seriesl system consisting of 4 independent components works if all components work. Now suppose probability p of any component works is 0.5. Compute the following quantity and interpret your results.
An aircraft system is modeled as being comprised of (3) independent subsystems - each critical -...
An aircraft system is modeled as being comprised of (3) independent subsystems - each critical - with reliability as follows : – Electrical => 15% probability of failure – Mechanical/Hydraulic => 10% probability of failure – Fuel/Powerplant => 5% probability of failure Question 1: What is the overall reliability of the aircraft system? Two identical Electrical subsystems are installed side-by-side in a hot-swap backup configuration. Question 2: Assuming all independent subsystem components have the same reliability as previously stated, what...
(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...
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...
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...
Part c
(6) 6. A system comprised of three independent components. The probability of failure for each component is given. (Use our standard notation: Ai, i 1,2, 3; A.) #1 .1 #3 .3 a) Find the probability that the system works (A). b) Find the probability that at least one component works (B e) Find the probability that the system works, given that at least one component wor ks.
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...
(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.
2, (20%) A particular operation has six components. Each component has a failure probability q, independent of any other component. The operation is successful if both of the following conditions hold: Component 1, 2, and 3 all work, or component 4 works. Either component 5 or component 6 works. The block diagram of this operation is shown below. b. (10%) Suppose we can replace one of the components with a more reliable component that has failure probability of q/2 Which...
Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is,...
(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...
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...
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...
Most questions answered within 3 hours.
-
James has low self-esteem. Compared with those having high
self-esteem, he is likely to:
repress distressing...
asked 2 minutes ago -
This is a multiple question discussion. Can someone please help
and provide insight with definitions and...
asked 6 minutes ago -
A certain generating power plant requires 1 MW output. Two types
of Diesel-engine installations are available....
asked 6 minutes ago -
The following three appliances are connected in parallel across
an ideal 120-V dc power source: 1000...
asked 9 minutes ago -
When reviewing the days sales in accounts receivable ration for
a short term loan decision
1....
asked 13 minutes ago -
Please help with these case questions. Thank you
Balagny Clothing Company Inc. is a major apparel...
asked 14 minutes ago -
The closing price of Schnur Sporting Goods Inc. common stock is
uniformly distributed between $20 and...
asked 26 minutes ago -
Explain why the media and much of the general public believe
that crime and the mental...
asked 31 minutes ago -
A 95% confidence interval for the population proportion of k-12
students who do not have internet...
asked 46 minutes ago -
A 12 kg block is pressed against a spring with spring constant k
= 1424 N/m....
asked 41 minutes ago -
46.What type of genome does yellow fever virus have? How big is
this genome?
47.Where is...
asked 46 minutes ago -
Which of the following best represents the null hypothesis for a
sign test? a. p...
asked 1 hour ago