Question: Sometimes multiple redundant backup components are used for complex mission critical systems such as military and civilian aircraft and the ICU wards in hospitals. The

Sometimes multiple redundant backup components are used for complex "mission critical" systems such as military and civilian aircraft and the ICU wards in hospitals. The result is a very high system reliability for the product in question since failure would be catastrophic.

Determine the system reliability of a component that is 95% reliable with (not one, but) two backup components in parallel, each with a reliability of 95%. Hint: Resolve the "backup to the backup" first, then use this result as a backup for the original component.

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