Calculate system reliability for series, parallel, and bridge configurations of independent components, and analyze Markov chain transition matrices.
Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Probability Models. 13 min read, ~1,888 words.
Series:. Multiplies survival probabilities, so the weakest link dominates and reliability falls fast as components are added. Parallel:. Redundancy multiplies failure probabilities, not survival probabilities. Bridge: 5-component diamond with a crossover. Use conditioning on the bridge element for a clean two-line calculation. Markov transition matrix: nonnegative entries, rows sum to...
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- A8
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