6. An integrated circuit has in one chip a NAND gate, a flip flop, a counter, and a shift register. Each one of these can be individually tested to make sure that it works properly. If any one of these fails to work properly, the entire chip is said to fail the acceptance test and is therefore rejected. Even though they are part of the same chip, each of the four components fails its test independent of failures of the other components. The following are the fail probabilities for the NAND gate, the flip flop, the counter, and the shift register, respectively, 0.05, 0.1, 0.03, 0.12. Treat the testing of the chip as a combined experiment of four separate tests. a) Write out the sample space of this experiment, b) draw the tree diagram associated with this experiment, c) determine the probability that the chip works, d) given that the chip fails, determine the probability that it is only the flip flop that failed

6. An integrated circuit has in one chip a NAND gate, a flip flop, a counter, and a shift register. Each one of these can be individually tested to make sure that it works properly. If any one of these fails to work properly, the entire chip is said to fail the acceptance test and is therefore rejected. Even though they are part of the same chip, each of the four components fails its test independent of failures of the other components. The following are the fail probabilities for the NAND gate, the flip flop, the counter, and the shift register, respectively, 0.05, 0.1, 0.03, 0.12. Treat the testing of the chip as a combined experiment of four separate tests. a) Write out the sample space of this experiment, b) draw the tree diagram associated with this experiment, c) determine the probability that the chip works, d) given that the chip fails, determine the probability that it is only the flip flop that failed

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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