SOLUTION: A smoke detector system uses two devices A and B. If smoke is present the probability that it will be detected by device A is 0.95, by device B 0.9 and by both devices 0.88.

Question 1093511: A smoke detector system uses two devices A and B. If smoke is present the
probability that it will be detected by device A is 0.95, by device B 0.9 and by
both devices 0.88.
a) suppose, before checking the devices, there is a 15% chance of smoke. calculate the probability
that there is smoke given that B didn't detect smoke
b) repeat part a), now given that neither A or B detected smoke
Answer by ciaV(1) (Show Source): You can put this solution on YOUR website!
a) .1(.15) = .015
.1 = the percentage that B does not detect so that times the the percentage that there is smoke
b) .1(.05)(.15) =7.5 x 10^-4
.1 = B does not detect
.05= A does not detect
times the percentage that there is smoke
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