Consider a parallel system consisting of two independent components whose time to failure distributions are exponential with parameters Icirc frac14 1 and Icirc frac14 2, respectively ( Icirc frac14 1 Icirc frac14 2) Show that the time to failure distribution of the system is not IFR R(t) P T, tor T2 t 1 P T,

Question: Consider a parallel system consisting of two independent components whose time to failure distributions are exponential with parameters Î¼1 and Î¼2, respectively (Î¼1 Î¼2). Show

Consider a parallel system consisting of two independent components whose time to failure distributions are exponential with parameters Î¼1 and Î¼2, respectively (Î¼1 ‰ Î¼2). Show that the time to failure of the system is not IFR.

R(t) = P{T, >tor T2 > t} = 1- P{T,

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