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 .82, .84, .86, and .88. The four backup circuits all have a reliability of .82.
a) What is the overall reliability of the new temperature controller? (Rounded to two decimal places)
B) If you Pay a Premium, Wings says he can improve all four of the backup units to 0.85 the overall reliability of the new temperature controller with the upgraded backup unit?