Question
In: Statistics and Probability
Consider n components of a system having independently exponentially distributed lifetimes so that Xn ~ exp(θ)...
Consider n components of a system having independently exponentially distributed lifetimes so that Xn ~ exp(θ)
a) For a single component, find the reliability to time t1 + t2 given that the component has already lived past time t1. Why is the constant failure rate referred to as the “memory-less” property?
b) For the series of n components, find an expression for Rs(t). What is the mean lifetime of the system?
Solutions
Expert Solution
The constant failure rate and the memory-less property is explained in the solution.
The components of the system are in series. The expression for reliability is solved accordingly.
orchestra answered 2 years agoRelated Solutions
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