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 1j for j = 1, 2. Suppose that R(t) and h(t) are the reliability and the hazard rate functions of the system, respectively. Then, which of the following statements is true?

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General Studies · Reliability Theory

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

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

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Answer 1

h(3) = 4e3 + e6 - 5e3 + e6 - 1

Answer 2

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

Answer 3

The expected lifetime of the given system is 1

Answer 4

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

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