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

Consider a series system comprising four components, having independent and identically distributed lifetimes with hazard rate λ(t) = 11+t, t > 0, and survival function S(t), t > 0. If Y denotes the lifetime of the series system, then what is P(Y < 12)?

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?