CHECKPOINT: The university has installed a surveillance system that includes a network of cameras on campus. Cameras are located approximately 1/4 of a mile of each other. When testing the system, there is a chance that individual cameras may fail, however, cameras operate independently of one another. Knowing that one camera has failed does not change the probability that any other camera will fail. Let's assume that your dorm is near two of those cameras: C1 and C2. For safety reasons you may be worried about both cameras failing. Supposed that when the surveillance system is activated, about 5% of the individual cameras fail. This makes the following two independent outcomes: P(C1 fails) = 0.05 and P(C2 fails) = 0.05. What would be the probability that the two cameras near your dorm will fail at the same time? [ROUND TO FOUR DECIMALS, NO PERCENTAGE FORM]
CHECKPOINT:The university has installed a surveillance system that includes a network of cameras on campus. Cameras are located approximately of a mile of each other.When testing the system,there is a chance that individual cameras may fail,however,
camera will fail. Let's assume that your dorm is near two of those cameras:C1 and C2.For safety reasons you may be worried about both cameras failing.Supposed that when the surveillance system is activated,about 5% of the individual cameras fail. This makes the following two independent outcomes:P(C1 fails)=0.05 and P(C2 fails)=O.05.What would be the probability that the two cameras near your dorm will fail at the same time?[ROUND TO FOUR DECIMALS,NO PERCENTAGE FORM]