A security camera is used to monitor a particular survillence area to report wheather there is any threat present or not . the probability that the camera correctly detects an actual threat as "threat found" is 0.8 . the probability that the camera correctly reports no threat as "no threat found' is 0.9. suppose the probability of an actual threat being present in the survillence area is 0.6

a) what is the probability that camera reports "threat found"?

b)Given that the camera reports "threat found" , what is the probability that there are actual threats in the survillence area?

(Ans parts c and d by assuming that an actual threat is always present i.e probability of threat presence is 1)

c)what is the probability that camera reports "threat found"?

d) An identical second camera is used to increase the accuracy of threat reporting capability . the cameras are operating independently and monitoring the same survillence area . find the probability that the combined system reports the threat accurately (atleast one camera should report"threat found")