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To calculate the failure rate, divide the number of failures by the total of failure data
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9. Determine (a) the failure rate (2) and (b) the mean life (0) for a failure...
7. A life testing plan is to be terminated after the seventh failure. Failed items are...
7. A life testing plan is to be terminated after the seventh failure. Failed items are not replaced during the test. A sample of 14 items is taken with the failures Occ the following times (in hours): 200, 220, 221, 245, 300, 305, and 310. Assume the time to failure is exponentially distributed. 7.1. Estimate the mean life of the items. (7 points) Answer: 7.2. Estimate the failure rate. (3 points) Answer: 7.3. Find a 98% confidence interval for the...
1. The failure rate function of an item is z ( t ) = t^-1/2. Derive:...
1. The failure rate function of an item is z ( t ) = t^-1/2. Derive: The mean time to failure. 2. A component with time to failure T has failure rate function z ( t ) = kt fort > 0 and k > 0. Determine the probability that a component which is functioning after 200 hours is still functioning after 400 hours, when k = 2.*10^-6 (hours).
Problem#1 Consider failure data for an electronic device shown below : Day Failures Failure rate 1...
Problem#1 Consider failure data for an electronic device shown below : Day Failures Failure rate 1 18 0.018 2 12 0.012 3 10 0.010 4 7 0.007 5 6 0.006 6 5 0.005 7 4 0.004 8 3 0.003 9 0 0 10 1 0.001 Develop the relative frequency histogram using the data above. Obtain ƒ(t) , F(t), and R(t).
Need 2-8 - CHAPTER QUESTIONS Reliability 245 1. Definere blir ne reliability in your own words....
Need 2-8
- CHAPTER QUESTIONS Reliability 245 1. Definere blir ne reliability in your own words. Describe the key elements and why they are important 2. Describe the three phases of the life syde curve. Drew the curve and label it in detail (the axes, phases, type of product failure, etc.). 3. Determine the failure rate for the following You have tested circuit boards for failures during a 300-hour continuous use test. Four of the 25 boards tailed. The first...
Qu.2 Chapter 8: Failure (2096) crack of length of 1.0 mm was detocted on the surface...
Qu.2 Chapter 8: Failure (2096) crack of length of 1.0 mm was detocted on the surface of the shaft of wind turbine (see Figure 3), made from 4340 steel. The diameter of the shaft of wind turbinc is cqual to 30 mm. Assuming subjected to a maximum load of 20,000 N during operation. 10.2 mm and Y ?! the radius of the curvature of the crack is 1x What is the maximum stress(o.) experienced by the shaft during operations? (a)...
question 19 b n=114 p=0.14 question 21 design life (50) months -2 motors? -3 motors? independentiy uf dle 19. Wha...
question 19 b
n=114
p=0.14
question 21
design life (50) months
-2 motors?
-3 motors?
independentiy uf dle 19. What is the probability of having not more than 20 but not less than 10 failures if n Section 2.10) a Using the binomial distribution b Using the normal approximation 20. The life of an electronic controller is distributed lognormally, with the parameters μ = 20 and What is the probability that a controller will last (a) at least 50 h?...
Four brands of baseball bats were tested to determine which bat allowed hitters to hit a...
Four brands of baseball bats were tested to determine which bat allowed hitters to hit a baseball farthest. Eighi different batters were thrown 25 pitches while hitting with each of the four bats(assigned in random ori average distance of the five longest hits using each bat is shown in the table below. The goal is to the average hit distance differs for the four brands of baseball bats. determine it Batter | Brand 1 Brand 2 Brand 3 | Brand...
9. The service life of automobile tires is modeled by a normal curve; the Mean Time...
9. The service life of automobile tires is modeled by a normal curve; the Mean Time Between Failures (MTBF) is 20,000 miles and the standard deviation is 800 miles. Use Table B in Appendix B (page 868 and 869) to solve these problems. a. Determine the probability that a tire will fail before 22,000 miles. (2.5 point) Answer: b. Determine the probability that a tire will last at least 19,000 miles. (2.5 point) Answer: c. The manufacturer wishes to provide...
2) An experiment is conducted to determine if the mean values are equal or not equal...
2) An experiment is conducted to determine if the mean values are equal or not equal for a P process, The following data on the mean life of the P process are sampled using Pl & P2 samples and the times to failure are indicated as follows: Test the hypothesis at the 5% significance level, that the mean values are equal ? P1 P2 a). What type of statistical test would you apply to test the hypothesis? b) State the...
Please only answer if you have good personal understanding of problem. i rate. include relevant d...
please only answer if you have good personal understanding of
problem. i rate. include relevant drawing and details for
understanding
Problem 8 Consolidated undrained triaxial tests for two similar specimens with different con- solidation stresses were performed and the data in Figure 11.21 is obtained, which includes pore water pressure measurements. Plot Mohr's circles at failure for two specimens in both the total stress and in the effective stress and determine the shear strength parameters c and ф from the...
7. A life testing plan is to be terminated after the seventh failure. Failed items are not replaced during the test. A sample of 14 items is taken with the failures Occ the following times (in hours): 200, 220, 221, 245, 300, 305, and 310. Assume the time to failure is exponentially distributed. 7.1. Estimate the mean life of the items. (7 points) Answer: 7.2. Estimate the failure rate. (3 points) Answer: 7.3. Find a 98% confidence interval for the...
Need 2-8
- CHAPTER QUESTIONS Reliability 245 1. Definere blir ne reliability in your own words. Describe the key elements and why they are important 2. Describe the three phases of the life syde curve. Drew the curve and label it in detail (the axes, phases, type of product failure, etc.). 3. Determine the failure rate for the following You have tested circuit boards for failures during a 300-hour continuous use test. Four of the 25 boards tailed. The first...
Qu.2 Chapter 8: Failure (2096) crack of length of 1.0 mm was detocted on the surface of the shaft of wind turbine (see Figure 3), made from 4340 steel. The diameter of the shaft of wind turbinc is cqual to 30 mm. Assuming subjected to a maximum load of 20,000 N during operation. 10.2 mm and Y ?! the radius of the curvature of the crack is 1x What is the maximum stress(o.) experienced by the shaft during operations? (a)...
question 19 b
n=114
p=0.14
question 21
design life (50) months
-2 motors?
-3 motors?
independentiy uf dle 19. What is the probability of having not more than 20 but not less than 10 failures if n Section 2.10) a Using the binomial distribution b Using the normal approximation 20. The life of an electronic controller is distributed lognormally, with the parameters μ = 20 and What is the probability that a controller will last (a) at least 50 h?...
Four brands of baseball bats were tested to determine which bat allowed hitters to hit a baseball farthest. Eighi different batters were thrown 25 pitches while hitting with each of the four bats(assigned in random ori average distance of the five longest hits using each bat is shown in the table below. The goal is to the average hit distance differs for the four brands of baseball bats. determine it Batter | Brand 1 Brand 2 Brand 3 | Brand...
9. The service life of automobile tires is modeled by a normal curve; the Mean Time Between Failures (MTBF) is 20,000 miles and the standard deviation is 800 miles. Use Table B in Appendix B (page 868 and 869) to solve these problems. a. Determine the probability that a tire will fail before 22,000 miles. (2.5 point) Answer: b. Determine the probability that a tire will last at least 19,000 miles. (2.5 point) Answer: c. The manufacturer wishes to provide...
2) An experiment is conducted to determine if the mean values are equal or not equal for a P process, The following data on the mean life of the P process are sampled using Pl & P2 samples and the times to failure are indicated as follows: Test the hypothesis at the 5% significance level, that the mean values are equal ? P1 P2 a). What type of statistical test would you apply to test the hypothesis? b) State the...
please only answer if you have good personal understanding of
problem. i rate. include relevant drawing and details for
understanding
Problem 8 Consolidated undrained triaxial tests for two similar specimens with different con- solidation stresses were performed and the data in Figure 11.21 is obtained, which includes pore water pressure measurements. Plot Mohr's circles at failure for two specimens in both the total stress and in the effective stress and determine the shear strength parameters c and ф from the...
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