# A system contains two components, A and B. The system will ## Problem 17E Chapter 2.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 17E

A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?

Step-by-Step Solution:

Step 1 of 2:

It is given that A and B are the two components of a system. The system works only if the two components work.

The probability that the component A works is 0.98,that is P(A)=0.98.Probability that component B works is 0.95,that is P(B)=0.95.

Probability that either component A or component B works is 0.99,that is P(A B)=0.99.

Step 2 of 2

##### ISBN: 9780073401331

This full solution covers the following key subjects: functions, Probability, system, components, function. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9780073401331. Since the solution to 17E from 2.1 chapter was answered, more than 251 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 17E from chapter: 2.1 was answered by Patricia, our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?” is broken down into a number of easy to follow steps, and 50 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th.

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