Redundant monitoring means that a signal is sent in multiple forms or paths to reach its intended target. For example, an alarm may be set up to send multiple signals to a security company, each independent of each other in case of failure along one path. If an alarm sends off four signals down different paths, and each has a 0.65 probability of reaching the security company, what is the probability that at least one signal successfully reaches the security company?
Redundant monitoring means that a signal is sent in multiple forms or paths to reach its intended target. For example, an alarm may be set up to send multiple signals to a security company, each independent of each other in case of failure along one path. If an alarm sends off four signals down different paths, and each has a 0.65 probability of reaching the security company, what is the probability that at least one signal successfully reaches the security company?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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5. Redundant monitoring means that a signal is sent in multiple forms or paths to reach its intended target. For example, an alarm may be set up to send multiple signals to a security company, each independent of each other in case of failure along one path. If an alarm sends off four signals down different paths, and each has a 0.65 probability of reaching the security company, what is the probability that at least one signal successfully reaches the security company?
- (A) 0.015
- (B) 0.111
- (C) 0.178
- (D) 0.821
- (E) 0.985
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