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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a241a34-5405-49d9-9dbf-27e5ff2d3260%2Fb3501fc1-3785-480c-8a4e-4f10a987fdf1%2Fl81w5o_processed.png&w=3840&q=75)
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
AI-Generated Solution
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt