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5. A technician suspects that one or more processors in a distributed system is not working properly. The processors, A, B, and [10] C, are all capable of reporting information about the status of the processors in the system (either working or not working). The technician is unsure whether a processor is really not working, or whether the problem is in the status reporting routines in one or more of the processors. After polling each processor, the technician receives the following status reports: • Processor A reports that Processor B is not working and Processor C is working. • Processor B reports that Processor A is working if and only if Processor B is working. • Processor C reports that at least one of the other two processors is not working. (a) Let a = "A is working," b= "B is working." and c = "C is working." Write the three status reports in terms of a, b, and c, using the symbols of formal logic. (b) Assume that all of the status reports are true, which processor(s) is/are working?

5. A technician suspects that one or more processors in a distributed system is not working properly. The processors, A, B, and [10] C, are all capable of reporting information about the status of the processors in the system (either working or not working). The technician is unsure whether a processor is really not working, or whether the problem is in the status reporting routines in one or more of the processors. After polling each processor, the technician receives the following status reports: • Processor A reports that Processor B is not working and Processor C is working. • Processor B reports that Processor A is working if and only if Processor B is working. • Processor C reports that at least one of the other two processors is not working. (a) Let a = "A is working," b= "B is working." and c = "C is working." Write the three status reports in terms of a, b, and c, using the symbols of formal logic. (b) Assume that all of the status reports are true, which processor(s) is/are working?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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5. A technician suspects that one or more processors in a distributed system is not working properly. The processors, A, B, and [10] C, are all capable of reporting information about the status of the processors in the system (either working or not working). The technician is unsure whether a processor is really not working, or whether the problem is in the status reporting routines in one or more of the processors. After polling each processor, the technician receives the following status reports: • Processor A reports that Processor B is not working and Processor C is working. • Processor B reports that Processor A is working if and only if Processor B is working. • Processor C reports that at least one of the other two processors is not working. (a) Let a = "A is working," b = "B is working," and c = "C is working." Write the three status reports in terms of a, b, and c, using the symbols of formal logic. (b) Assume that all of the status reports are true, which processor(s) is/are working? 1 (c) Assuming that all of the processors are working, which status report(s) is/are false? (d) Assuming that a processor's status report is true if and only if the processor is working, what is the status of each processor?
Transcribed Image Text:5. A technician suspects that one or more processors in a distributed system is not working properly. The processors, A, B, and [10] C, are all capable of reporting information about the status of the processors in the system (either working or not working). The technician is unsure whether a processor is really not working, or whether the problem is in the status reporting routines in one or more of the processors. After polling each processor, the technician receives the following status reports: • Processor A reports that Processor B is not working and Processor C is working. • Processor B reports that Processor A is working if and only if Processor B is working. • Processor C reports that at least one of the other two processors is not working. (a) Let a = "A is working," b = "B is working," and c = "C is working." Write the three status reports in terms of a, b, and c, using the symbols of formal logic. (b) Assume that all of the status reports are true, which processor(s) is/are working? 1 (c) Assuming that all of the processors are working, which status report(s) is/are false? (d) Assuming that a processor's status report is true if and only if the processor is working, what is the status of each processor?
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