SOLUTION: A warning system installation consists of two independent alarms having probabilities of operating in an emergency of0.95 and 0.90 respectively. Find the probabilities that at leas

Algebra.Com
Question 879927: A warning system installation consists of two independent alarms having probabilities of operating in an emergency of0.95 and 0.90 respectively. Find the probabilities that at least one alarm operates in an emergency
A. 0.995
B. 0.975
C. 0.95
D. 0.90
E. 0.855

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
2 Alarms: p(working) .95 and .90
P(at least one working) = 1 - P(neither working) = 1 - (.05)(.10) = .995

RELATED QUESTIONS

An experiment consists of two independent trials. The outcomes of the first trial are A,... (answered by Fombitz)
Military radar and missile detection system are designed to warn a country of an enemy... (answered by stanbon)
Military radar and missile detection system are designed to warn a country of an enemy... (answered by sudhanshu_kmr)
A home security system is designed to be triggered in 96% of attempted burglaries. If 9... (answered by stanbon)
A home security system is designed to be triggered in 97% of attempted burglaries. If 10 (answered by solver91311)
The probability that a particular type of smoke alarm will function properly and sound an (answered by ewatrrr)
home security system is designed to be triggered in 96% of attempted burglaries. If 10... (answered by stanbon)
A home security has a reliability rate of 99%. In a sample of nine homes equipped with... (answered by stanbon)
An experiment consists of two independent trials. The outcomes of the first trial are A,... (answered by Theo)