1. Suppose that a missile can have several independent and identical computers each with reliability .9 connected in parallel so that the system will continue to function as long as at least one computer is operating. If it is desired to have a system reliability of at least .999, how many computers should be connected in parallel?
2. Three independent and identical components, each with a reliability of .9, are to be used in an assembly.
(a) The assembly will function if at least one of the components is operable. Find the system reliability.
(b) The assembly will function if at least two of the components is operable. Find the reliability of the system.
(c) The assembly will function only if all three of the components are operable. Find the reliability of the system.