Probability of System Malfunction & Defective Tubes Selection

• axnman
In summary, the probability of a system malfunction occurring depends on various factors and can be calculated using mathematical models. Defective tubes can be identified through quality control measures and their selection can greatly impact the overall reliability of a system. To improve system reliability and minimize the impact of defective tubes, regular maintenance and quality control measures should be implemented, along with incorporating redundancy in critical systems.
axnman
Que. 1 : In a mech. sys. 5 bulbs are used and system will operate if any 3 are functioning. Given that 15% of bulbs are defective , with aid of binomial PDF determine what are the chances that the system will malfunction?

Que. 2 :
Suppose 15% of total population of tubes is defective and that 5 tubes are randomly selected. Determine the probability that there will be among those selected:
1) no defectives
2) only 2 defectives
3) no more than 2 defectives
4) only 3 defectives
5) no more than 3 defectives

solved thanks

1. What is the probability of a system malfunction occurring?

The probability of a system malfunction occurring is dependent on a variety of factors, including the complexity of the system, the quality of its components, and the level of maintenance it receives. However, it is important to note that even with highly reliable systems, malfunctions can still occur due to unforeseen circumstances.

2. How is the probability of system malfunction calculated?

The probability of system malfunction can be calculated using various mathematical models and techniques, such as fault tree analysis and reliability block diagrams. These methods take into account the reliability of individual components and their interactions within the system to estimate the overall probability of failure.

3. How can defective tubes be identified and selected to minimize the probability of system malfunction?

Defective tubes can be identified through quality control measures, such as visual inspections, non-destructive testing, and statistical process control. Once identified, these tubes can be removed and replaced with higher quality ones to reduce the probability of system malfunction.

4. How does the selection of defective tubes impact the overall reliability of a system?

The selection of defective tubes can greatly impact the overall reliability of a system. Defective tubes can lead to premature failures, increased maintenance costs, and potential safety hazards. Therefore, it is crucial to carefully select and replace defective tubes to maintain the reliability of the system.

5. What can be done to improve the probability of system reliability and minimize the impact of defective tubes?

To improve the probability of system reliability and minimize the impact of defective tubes, regular maintenance and quality control measures should be implemented. This includes routine inspections, testing, and timely replacement of faulty components. Additionally, incorporating redundancy in critical systems can also increase overall reliability and mitigate the effects of defective tubes.

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