An automobile braking device consist of three independent subsystems: electronic, hydraulic, and mechanical. The probabilities of the three subsystems functioning correctly are 0.96, 0.95 and 0.95, respectively. The braking device can only function properly if all three subsystems function correctly. What is the probability that the braking device will fail? Round off your answer to 4 decimal places.

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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An automobile braking device consist of three independent subsystems: electronic, hydraulic, and mechanical. The probabilities of the three subsystems functioning correctly are 0.96, 0.95 and 0.95, respectively. The braking device can only function properly if all three subsystems function correctly. What is the probability that the braking device will fail? Round off your answer to 4 decimal places.

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