Question: 7. A parallel system with two components is a system that functions if and only if at least one of its components functions. Let X

7. A parallel system with two components is a system that functions if and only if at least one of its components functions. Let X and Y, the lifetimes of the components, be independent exponential random variables with parameters λ and μ, respectively. Find the probability density function of |X − Y |, the time between the failures of the two components.

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