×
×

# Refer to Exercise 21. Is it possible for the probability ISBN: 9780073401331 38

## Solution for problem 22E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Statistics for Engineers and Scientists | 4th Edition

4 5 1 291 Reviews
15
3
Problem 22E

Refer to Exercise 21. Is it possible for the probability that both gauges fail to be greater than 0.01? Explain.

Exercise 21: 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 bum up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation:

P (both gauge fail) = P(first guage fails) × P (Second guage fails)

= (0.01)(0.01)

= 0.0001

a. What assumption is being made in this calculation?

b. Explain why this assumption is probably not justified in the present case.

c. Is the probability of 0.0001 likely to be too high or too low? Explain.

Step-by-Step Solution:

Step 1 of 2 :

Given,

From the given exercise the probability of first gauge fail is 0.01 and the probability of second gauge fails is 0.01

The claim is to check that the probability that both gauges fail to be greater than 0.01.

Step 2 of 2

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: gauges, Probability, both, explain, fail. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 22E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “Refer to Exercise 21. Is it possible for the probability that both gauges fail to be greater than 0.01? Explain.Exercise 21: 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 bum up in a fire. Someone wishes to estimate the probability that both gauges fail, and makes the following calculation:P (both gauge fail) = P(first guage fails) × P (Second guage fails) = (0.01)(0.01) = 0.0001a. What assumption is being made in this calculation?b. Explain why this assumption is probably not justified in the present case.c. Is the probability of 0.0001 likely to be too high or too low? Explain.” is broken down into a number of easy to follow steps, and 160 words. Since the solution to 22E from 2.3 chapter was answered, more than 895 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

Unlock Textbook Solution