Question: Overheating is a major problem in microprocessor operation. After much testing, it has been determined that the operating temperature is normally distributed with a mean

Overheating is a major problem in microprocessor operation. After much testing, it has been determined that the operating temperature is normally distributed with a mean of 150 degrees and a standard deviation of 7 degrees. The processor will malfunction at 165 degrees.

(a) What is the probability of a malfunction?

(b) A newer fan useful for cooling the processor is being considered.

With the new fan, the operating temperature has a mean of 144 degrees and a standard deviation of 9 degrees.

What is the probability of a malfunction with the new fan?

(c) Suppose that all processors are sold for $1200. The cost of the original system is $1000, whereas the cost with the new fan is $1050. Assume that 1000 units are planned to be produced and sold. Also assume that there is a money-back guarantee for all systems that malfunction. Under these assumptions, which system will generate the most revenue?

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