Rick Wing, salesperson for Wave Soldering Systems,Inc. (WSSI), has provided you with a proposal for improving thetemperature control on your present machine. The machine uses ahot-air knife to cleanly remove excess solder from printed circuitboards; this is a great concept, but the hot-air temperature controllacks reliability. According to Wing, engineers at WSSI haveimproved the reliability of the critical temperature controls. Thenew system still has the four sensi tive integrated circuits controllingthe 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 thebackup units to .93. What is the reliability of this option?

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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 sensi tive 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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