Question

Utilising the following assumed reliabilities:

Smoke detection system 95%

Automatic sprinkler system 95%

Smoke exhaust system 85%

Fire alarm system 98%

2. Calculate the system probability that the fire alarm system and automatic sprinkler system operate, but the smoke detection system and smoke exhaust system do not operate, provide enough significant digits especially when the answer is very close to zero or one.

Answer 1

Given Information:

The following reliabilities is given:

Smoke detection system 95%(0.95)

Smoke detection system does not operate is

Automatic sprinkler system 95%

Smoke exhaust system 85%.(0.85)

Smoke exhaust system does not operate is

Fire alarm system 98%

The system probability that the fire alarm system and automatic sprinkler system operate, but the smoke detection system and smoke exhaust system do not operate is calculated as: