Consider the system below comprised of three components. The system is working if there is a path from left to right through working components. The components fail independently of one another and the time to failure (in years) for each component has an Exponential(2) distribution. Determine the probability that the system is working at time t.
Added by Manuel R.
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The time to failure for each component follows an Exponential(2) distribution. The probability density function (pdf) for an exponential distribution with parameter λ is given by: f(t) = λe^(-λt), for t ≥ 0 In our case, λ = 2. Show more…
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