Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition. Assuming the three detectors function independently, how likely is it that a fire will be detected within 30 seconds?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition. Assuming the three detectors function independently, how likely is it that a fire will be detected within 30 seconds?

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