Answer: 0.992
Step-by-step explanation:
Given : The three systems detects when a trespass occurs with a probability of 0.98 independently of the others.
Then, the probability that system failed to detect a trespass = 1- 0.98 = 0.02
Since each system works independently ,
Then, the probability that none of 3 systems will detect = 0.2 x 0.2 x 0.2 = 0.008
Then the probability that when a trespass occurs, at least one of the systems will detect it
= 1- P( none of three systems detect)
= 1- 0.008=0.992
Hence, the probability that when a trespass occurs, at least one of the systems will detect it = 0.992
Answer:
I think its 3 I had the sam question but I'm not sure if i put 3 or 2
