8.19) A sensor is used to monitor the performance of a nuclear reactor. The sensor accurately reflects the state of the reactor with a probability of.97 But with a probability of .02 it gives a false alarm (by reporting excessive radiation even though the reactor is performing normally), and with a probability of .01 it misses excessive radiation (by failing to report excessive radiation even though the reactor is performing abnormally)
a) What is the probability that a sensor will give an incorrect report, that is, either a false alarm or a miss?
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