Question

A supermarket is equipped with the following four fire safety systems: (1) a smoke detection system, (2) an automatic sprinkler system, (3) a smoke exhaust system, and (4) a fire alarm system.

Tasks: Conduct reliability analysis by answering the questions below. Please provide enough significant digits especially when the answer is very close to zero or one.

6. Calculate the system probability that only one of the four fire systems operates. Do NOT draw a block diagram.

Assumed reliabilities

Smoke detection system 95%

Automatic sprinkler system 95%

Smoke exhaust system 85%

Fire alarm system 98%

Answer 1

For the above question kindly check the attached picture for complete explanation of results