A system has two components C1 and C2 connected in parallel. The components C1 and C2 have independent lifetimes X1 and X2, respectively. The probability distribution of Xj is exponential with mean 1/j, j = 1, 2. If h(t) is the hazard rate function of the system, then which of the following is true?

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Mathematics · Reliability Theory

A system has two components C1 and C2 connected in parallel. The components C1 and C2 have independent lifetimes X1 and X2, respectively. The probability distribution of Xj is exponential with mean 1/j, j = 1, 2. If h(t) is the hazard rate function of the system, then which of the following is true?

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h(1) = 2e + e2 - 3e + e2 - 1

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Answer 1

R(t) = e-2t + e-t - e-3t, t > 0

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Answer 3

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A system has two components C1 and C2 connected in parallel. The components C1 and C2 have independent lifetimes X1 and X2, respectively. The probability distribution of Xj is exponential with mean 1/j, j = 1, 2. If h(t) is the hazard rate function of the system, then which of the following is true?

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