The exponential distribution is commonly used to model failure rates in pipeline risk assessment, particularly for situations where the failure rate is assumed to be constant over time. A probability distribution is a mathematical function that describes the likelihood of different outcomes occurring. The exponential distribution is characterized by a single parameter, often denoted as λ (lambda), which represents the failure rate. The failure rate is the probability that a component will fail per unit of time. The exponential distribution assumes that the failure rate is constant, meaning ....
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