A component of a research instrument has a probability of .98 of operating.It has a backup component that has a probability of .95 of operating.The instrument will function if either component operates.Determine the overall reliability of this subsystem under these conditions:
(i)The backup and the main component are connected by a switch which is certain to function should the main component fail.
(ii)The switch to the backup has a probability of .99 of operating.

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The Answer of A component of a research instrument has a probability of .98 of operating.It has a backup component that has a probability of .95 of operating.The instrument will function if either component operates.Determine the overall reliability of this subsystem under these conditions:
(i)The backup and the main component are connected by a switch which is certain to function should the main component fail.
(ii)The switch to the backup has a probability of .99 of operating.

A Component of a Research Instrument Has a Probability of .98