A product is made up of six components. They are wired in a series with reliabilities of .89, .82, .93, .75, .91, and .88.
a. What is the overall reliability of this product?
b. Suppose that redundant components are introduced for the two least reliable components. What is the new overall reliability for this product?
c. Suppose that redundant components are introduced for all of the primary components. What is the new overall reliability for this product?
d. Suppose that a backup system made of identical components is built into the original product. If any component in the primary system fails, the backup system will be activated. What is the reliability for this design?