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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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An article in Microelectronics Reliability [“Advanced

Chapter 4, Problem 92E

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QUESTION:

Problem 92E

An article in Microelectronics Reliability [“Advanced Electronic Prognostics through System Telemetry and Pattern Recognition Methods” (2007, Vol.47(12), pp. 1865–1873)] presented an example of electronic prognosis. The objective was to detect faults to decrease the system downtime and the number of unplanned repairs in high-reliability systems. Previous measurements of the power supply indicated that the signal is normally distributed with a mean of 1.5 V and a standard deviation of 0.02 V.

(a) Suppose that lower and upper limits of the predetermined specifications are 1.45 V and 1.55 V, respectively. What is the probability that a signal is within these specifications?

(b) What is the signal value that is exceeded with 95% probability?

(c) What is the probability that a signal value exceeds the mean by two or more standard deviations?

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QUESTION:

Problem 92E

An article in Microelectronics Reliability [“Advanced Electronic Prognostics through System Telemetry and Pattern Recognition Methods” (2007, Vol.47(12), pp. 1865–1873)] presented an example of electronic prognosis. The objective was to detect faults to decrease the system downtime and the number of unplanned repairs in high-reliability systems. Previous measurements of the power supply indicated that the signal is normally distributed with a mean of 1.5 V and a standard deviation of 0.02 V.

(a) Suppose that lower and upper limits of the predetermined specifications are 1.45 V and 1.55 V, respectively. What is the probability that a signal is within these specifications?

(b) What is the signal value that is exceeded with 95% probability?

(c) What is the probability that a signal value exceeds the mean by two or more standard deviations?

ANSWER:

Solution:

Step 1 of 4:

Here it is given that the experiment under consideration is detecting the faults in the systems to reduce the system downtime and other issues related to the systems.

The measurements of the power supply indicated that the signal is Normally distributed with mean 1.5V and standard deviation 0.02 V.

Using this we need to find the required values.

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