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A certain device is very sensitive to electromagnetic radiation, so when the radiation is more than...

A certain device is very sensitive to electromagnetic radiation, so when the radiation is more than 75 % of a given threshold, the device only works 25 % of the time. However, for other levels of radiation, the device works correctly 65% of the time. It is also known that the probability of radiation being above 75 % is 0.25. It is requested:

a) Knowing that the device works, what is the probability that the radiation level will be above 75%?

b) What is the probability that the device works and the radiation level is above 75 %?

c) What is the probability that the device will work?

Math   Statistics-And-Probability   
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