Question 16 An automatic fire extinguishing system has two types of fire detecto

Question

Question 16 An automatic fire extinguishing system has two types of fire detector to activate each nozzle. If either detector is triggered, the nozzle will activate. Ty reliability of 0.80. Type B has a reliability of 0.90. The two types of detector work independently. Either detector is triggered, the nozzle will activate. Assume a fire occurs near a fire nozzle. a. The probability that the nozzles will NOT be activated is 28 b. The probability that ONLY type B detector will work properly is 18 (2DP). (2DP). > Moving to another question will save this response.

Explanation / Answer

a) P(Nozzle will not be activated)

= P(Both A and B desn't get triggered)

= 0.80*0.90

= 0.72

b) P(Only type B will work properly)

= P(Type A nozzle triggered)*P(Type B working properly)

= (1 - 0.80)*0.90

= 0.18

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