Question: 1. You have a process that includes three components. The first component has a reliability of 0.89, the second has a reliability of 0.84, and

1. You have a process that includes three components. The first component has a reliability of 0.89, the second has a reliability of 0.84, and the third has a reliability of 0.90. What is the reliability of the system? Answer to three decimal places.

2. You have a system with three components and each of those components has a backup in case of failure of the primary component. The three primary components have a reliability of 0.94, 0.90, and 0.92. The first component has a backup with a reliability of 0.88. The second component has a backup with a reliability of 0.88. The third component has a backup with a reliability of 0.90. What is the reliability of the system? Answer to three decimal places.

3. You have a component that is getting old and less reliable so you want to back it up. You have several old versions of the component which you can use as backups. The main component has a reliability of 0.62 and the three old components you are using for backup have reliabilities of 0.59, 0.59, and 0.64 respectively. What is the reliability of this component with backups included? Answer to 3 decimal places.

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