A jet engine has ten components in series. The average reliability of each component is 0.998. What is the reliability of the engine? (Round your answer to 3 decimal places, the tolerance is +/ 0.001)

1. A jet engine has ten components in series. The average reliability of each component is 0.998. What is the reliability of the engine?
(Round your answer to 3 decimal places, the tolerance is +/ 0.001)

2. An engine system consists of three main components in a series, all having the same reliability. Determine the level of reliability required for each of the components if the engine is to have a reliability of 0.998.
(Round your answer to 4 decimal places, the tolerance is +/ 0.0005)

3. What would be the reliability of the bank system below if each of the three components had a backup with a reliability of .80?

(Round your answer to 3 decimal places, the tolerance is +/ 0.001)

4. A University Web server has five main components each with the same reliability. All five components must work for the server to function as intended. If the University wants to have a 95 percent reliability, what must be the reliability of each of the components?
(Round your answer to 4 decimal places, the tolerance is +/ 0.0005)

5. The following system of components has been proposed for a new product. Determine the reliability of the system.

(Round your answer to 4 decimal places, the tolerance is +/ 0.0005)