58. Consider two components whose lifetimes X1 and X2 are independent and exponentially distributed with parameters l1

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58. Consider two components whose lifetimes X1 and X2 are independent and exponentially distributed with parameters l1 and l2, respectively. Obtain the joint pdf of total lifetime X1  X2 and the proportion of total lifetime X1/(X1  X2) during which the rst component operates.

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