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5. A large security-system management company with clients in Los Angeles and San Francisco installs and monitors secu- rity systems in houses and on business premises. The system's alarm sounds at the central monitoring location if the system detects a security break-in, smoke, or fire at any of the clients' premises. Tests have indicated that 3 percent of clients have a false alarm, meaning the alarm sounds when there is no incident, and that in approximately 0.5 percent of actual incidences, the system fails to sound an alarm. The records indicate that about 0.1 percent of clients have break-in/fire/smoke incidents. (a) Suppose a client is selected at random. What is the probability that the alarm will sound at this client's premises? (b) Suppose the alarm is sounded at a client's premises. What is the probability that there is no break-in, smoke, or fire inci- dent?

5. A large security-system management company with clients in Los Angeles and San Francisco installs and monitors secu- rity systems in houses and on business premises. The system's alarm sounds at the central monitoring location if the system detects a security break-in, smoke, or fire at any of the clients' premises. Tests have indicated that 3 percent of clients have a false alarm, meaning the alarm sounds when there is no incident, and that in approximately 0.5 percent of actual incidences, the system fails to sound an alarm. The records indicate that about 0.1 percent of clients have break-in/fire/smoke incidents. (a) Suppose a client is selected at random. What is the probability that the alarm will sound at this client's premises? (b) Suppose the alarm is sounded at a client's premises. What is the probability that there is no break-in, smoke, or fire inci- dent?

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 10CYU
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5. A large security-system management company with clients in Los Angeles and San Francisco installs and monitors secu- rity systems in houses and on business premises. The system's alarm sounds at the central monitoring location if the system detects a security break-in, smoke, or fire at any of the clients' premises. Tests have indicated that 3 percent of clients have a false alarm, meaning the alarm sounds when there is no incident, and that in approximately 0.5 percent of actual incidences, the system fails to sound an alarm. The records indicate that about 0.1 percent of clients have break-in/fire/smoke incidents. (a) Suppose a client is selected at random. What is the probability that the alarm will sound at this client's premises? (b) Suppose the alarm is sounded at a client's premises. What is the probability that there is no break-in, smoke, or fire inci- dent? ELE
Transcribed Image Text:5. A large security-system management company with clients in Los Angeles and San Francisco installs and monitors secu- rity systems in houses and on business premises. The system's alarm sounds at the central monitoring location if the system detects a security break-in, smoke, or fire at any of the clients' premises. Tests have indicated that 3 percent of clients have a false alarm, meaning the alarm sounds when there is no incident, and that in approximately 0.5 percent of actual incidences, the system fails to sound an alarm. The records indicate that about 0.1 percent of clients have break-in/fire/smoke incidents. (a) Suppose a client is selected at random. What is the probability that the alarm will sound at this client's premises? (b) Suppose the alarm is sounded at a client's premises. What is the probability that there is no break-in, smoke, or fire inci- dent? ELE
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