Rick Wing, salesperson for Wave SolderingSystems, Inc. (WSSI), has provided you with a proposal forimproving the temperature control on your present machine.The machine uses a hot-air knife to cleanly remove excess solder from printed circuit boards; this is a great concept, butthe hot-air temperature control lacks reliability. According toWing, engineers at WSSI have improved the reliability of thecritical temperature controls. The new system still has the foursensitive integrated circuits controlling the temperature, butthe new machine has a backup for each. The four integratedcircuits have reliabilities of .90, .92, .94, and .96. The fourbackup circuits all have a reliability of .90.a) What is the reliability of the new temperature controller?b) If you pay a premium, Wing says he can improve all fourof the backup units to .93. What is the reliability of thisoption?

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Rick Wing, salesperson for Wave Soldering
Systems, Inc. (WSSI), has provided you with a proposal for
improving the temperature control on your present machine.
The machine uses a hot-air knife to cleanly remove excess solder from printed circuit boards; this is a great concept, but
the hot-air temperature control lacks reliability. According to
Wing, engineers at WSSI have improved the reliability of the
critical temperature controls. The new system still has the four
sensitive integrated circuits controlling the temperature, but
the new machine has a backup for each. The four integrated
circuits have reliabilities of .90, .92, .94, and .96. The four
backup circuits all have a reliability of .90.
a) What is the reliability of the new temperature controller?
b) If you pay a premium, Wing says he can improve all four
of the backup units to .93. What is the reliability of this
option?

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