A "one-shot" device can be used only once; after use, the device (e.g. a nuclear weapon, space shuttle, automobile air bag) either is destroyed or must be rebuilt. The destructive nature of a one-shot device makes repeated testing either impractical or too costly. Hence, the reliability of such a device must be determined with minimal testing.

Consider a one-shot device that has some probability p of failure. Of course, the true value of p is unknown, so designers will specify a value of p which is the largest defective rate that they are willing to accept. Designers will conduct n tests of the device and determine the success and failure of each test. If the number of the observed failures x, is less than or equal to some specified value k, then the device is considered to have the desired failure
2 rate. Consequently, the designers want to know the minimum sample size needed so that observing K or fewer defectives in the sample will demonstrate that the true probability of failure for the one-shot device is no greater than p.

a. Suppose the desired failure rate for a one-shot device is p = 0.10. Suppose also that designers will conduct n = 20 tests of the device and conclude that the device is performing to specifications if K =1 (i.e., if 1 or no failure is observed in the sample). Find p(x≤1)

b. In reliability analysis, 1- p(x≤ K) is often called the level of confidence for concluding that the true failure rate is less than or equal to p. Find the level of confidence for the one-shot device described in part (a). In your opinion, is this an acceptable level? Explain.

c. Demonstrate that the confidence level can be increased by either (1) increasing the sample size n or (2) decreasing the number K of failures allowed in the sample.

d. Typically, designers want a confidence level of 0.90, 0.95, or 0.99. Find the values of n and K to use so that designers can conclude with at least 95% confidence that the failure rate for the one-shot device of part (a) is no greater than p = 0.10.

Solution Summary

The desired failure rate, reliability analysis and confidence levels are examined.

A particular product is known to have an exponential failure time distribution with a mean of 12 months.
a. Find the probability it will fail in less than 9 months.
b. What is the reliability at 15 months?
c. Determine and graph the hazard rate for this product.

Please see attachment for more clarification for Q2
1. Find the minimum number of redundant components, each having a reliability of 0.4, necessary to achieve a system reliability 0.95. There is a common-mode failure probability of 0.03.
2. Determine the reliability of the system using Conditioning
3. Consider a c

Please see attachment for more clarification on Q5
1. Indicate whether the following statements are true or false.
a) The time to failure of a component is distributed as follows (pdf):
1. Indicate whether the following statements are true or false.
a) The time to failure of a component is distributed as follows (pdf

1. Failure rate for item A is 0.002 failures/hr., item B is 0.0003 failures/hr. and item C is 0.001 failures/hr. The components are serially related with independent failure modes. What is the system reliability at 55 hrs? Please round your answer to 3 decimals.
2. A system has 2 components (component A and B) in parallel. Wh

Part 1:
Prepare a report (no more than 500 words) describing how the calculation of product reliability can be applied in practice in your organisation or in one that you are familiar with. What are the benefits of increasing the reliability of systems/processes, and what are the drawbacks of using backups?
Part 2: Comple

Describe what studies suggest regarding the reliability and validity of job analysis. What are some ways that you could increase the reliability and validity of a job analysis?

Hello Sir,
In order to save time and effort. You don't need to provided a detail solution like you did on the last two questions. Please use the direct formula and provide a brief solution and answer.
Thank you for all your assistance.
1. A component experiences failures at a constant rate (CFR) with an MTTF of 1100 hou

Assume you have a product with reliability of .90 at 1000 hours. Your customer wants a reliability of .99. Explain what you can do, if the best technology was used to produce the components of the system to achieve the .99 reliability?

A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm systems is 0.995.
a. Should the fire alarm systems be placed in series, parallel, or in a series-parallel combination?
b. Defend you recommendation using a system reliability analysis.