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Chapter 3: Q134SE (page 210)

Flawed Pentium computer chip.In October 1994, a flawwas discovered in the Pentium microchip installed in personalcomputers. The chip produced an incorrect result when dividing two numbers. Intel, the manufacturer of the Pentium chip, initially announced that such an error wouldoccur once in 9 billion divisions, or 鈥渙nce in every 27,000 years鈥� for a typical user; consequently, it did not immediately offer to replace the chip.

Depending on the procedure, statistical software packages (e.g., Minitab) may perform an extremely large number of divisions to produce the required output. For heavy users of the software, 1 billion divisions over a short time frame is not unusual. Will the flawed chip be a problem for a heavy Minitab user? [Note:Two months after the flaw was discovered, Intel agreed to replace all Pentium chips free of charge.]

Short Answer

Expert verified

The probability is 0.111 and it is fairly common.

Step by step solution

01

Important formula

The formula for probability isP=favourableoutcomestotaloutcomes

02

Find that will the flawed chip be a problem for a heavy Minitab user.

Intel Corporationcommitted to replacing al Pentium chips free of charge two months after the error was detected. Then

P(U)=19=0.111

Therefore, the probability is 0.111 and it is fairly common.

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