Required information Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Assume that a plant has two gauges to measure the level of coolant in the reactor core and that each gauge has probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation: P(both gauges fail) = P(first gauge fails) × P(second gauge fails) = (0.01)(0.01) = 0.0001 The assumption made in this calculation was that the gauges fail independently. True or False True False

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Required information
Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure.
Assume that a plant has two gauges to measure the level of coolant in the reactor core and that each gauge has
probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core
to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that
both gauges fail, and makes the following calculation:
P(both gauges fail) = P(first gauge fails) × P(second gauge fails)
= (0.01)(0.01)
= 0.0001
The assumption made in this calculation was that the gauges fail independently.
True or False
True
False
Transcribed Image Text:Required information Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Assume that a plant has two gauges to measure the level of coolant in the reactor core and that each gauge has probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation: P(both gauges fail) = P(first gauge fails) × P(second gauge fails) = (0.01)(0.01) = 0.0001 The assumption made in this calculation was that the gauges fail independently. True or False True False
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