A crucial pumping process in a power plant is safely designed in a more conservative approach so that 3 pumps connected in parallel work one at a time. In this feature, the probability that the pumping system operates is larger than the probability that any of the three pumps operates, failing only if all three pumps fail to function. Consider a situation wherein the probabilities of each pump to operate are as follows: Pump 1- 95%, Pump 2 - 80%, Pump 3 – 90%. What is the probability that the system does not fail?

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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A crucial pumping process in a power plant is
safely designed in a more conservative
approach so that 3 pumps connected in
parallel work one at a time. In this feature, the
probability that the pumping system operates
is larger than the probability that any of the
three pumps operates, failing only if all three
pumps fail to function. Consider a situation
wherein the probabilities of each pump to
operate are as follows: Pump 1 – 95%, Pump 2
- 80%, Pump 3 – 90%. What is the probability
that the system does not fail?
Select the correct response.:
none of these
99.9%
88.3%
68.4%
Transcribed Image Text:A crucial pumping process in a power plant is safely designed in a more conservative approach so that 3 pumps connected in parallel work one at a time. In this feature, the probability that the pumping system operates is larger than the probability that any of the three pumps operates, failing only if all three pumps fail to function. Consider a situation wherein the probabilities of each pump to operate are as follows: Pump 1 – 95%, Pump 2 - 80%, Pump 3 – 90%. What is the probability that the system does not fail? Select the correct response.: none of these 99.9% 88.3% 68.4%
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