Question

A system consists of two components (A and B). The system will operate properly only if both components work properly. When the system is activated the probability that component A will fail is 0.10, the probability that component B will fail is 0.08, and the probability that both components will fail is 0.008. Calculate the probability that the system, when activated, will work properly.

Name: a system consists of two components a and b the system will operate properly only if both components work properly when the system is activated the probability that component a will fail is 00507
Uploaded: 2022-07-01T05:32:53-08:00
Duration: 2 min 41 s
Channel: Robin Corrigan
Description: a system consists of two components a and b the system will operate properly only if both components work properly when the system is activated the probability that component a will fail is 00507

          A system consists of two components (A and B). The system
will operate properly only if both components work properly.
When the system is activated the probability that component A
will fail is 0.10, the probability that component B will fail is
0.08,
and the probability that both components will fail is 0.008.
Calculate the probability that the system, when activated, will
work properly.

Added by Amanda P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Robin Corrigan

07/01/2022

Step 1

The probability that component A will work properly is 1 - the probability that it will fail, which is 1 - 0.10 = 0.90. Show more…

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A system consists of two components (A and B). The system will operate properly only if both components work properly. When the system is activated the probability that component A will fail is 0.10, the probability that component B will fail is 0.08, and the probability that both components will fail is 0.008. Calculate the probability that the system, when activated, will work properly.