Q119Section C (Part C)119 of 120

Reliability, mean life and hazard rate of a two-component parallel system

A system has two components $C_1$ and $C_2$ put in parallel. The components $C_1$ and $C_2$ have independent lifetimes $X_1$ and $X_2$ , respectively. The probability distribution of $X_j$ is exponential with mean $\tfrac1j$ , $j=1,2$ . 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 are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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