A computer has three main modules that have individual reliabilities of $0\mathrm{.}73,0\mathrm{.}92,$ and $0\mathrm{.}84.$ Because of recent failures, management is now considering adding redundancy. Determine the reliability of the system if each module has a backup with a reliability equal to its own and a backup switch with a reliability of $1\mathrm{.}00$

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Question $2(1\mathrm{.}66$ points$)$

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A computer has three main modules that have individual reliabilities of $0\mathrm{.}71,0\mathrm{.}93,$ and $0\mathrm{.}82.$ Because of recent failures, management is now considering adding redundancy. Determine the reliability of the system if the backup consists of an identical computer that operates as a whole rather than backing up individual sections. The single switch for the backup computer has a reliability of $96.$

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Question $3(1\mathrm{.}67$ points$)$

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A DVD Burner has a mean time between failures of $81$ weeks. Find the probability

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