A sprinkler system of a Shopping Center has two types of activation devices and that operate independently. When there is a fire, it either device operates correctly. In case of fire, the probability that operates correctly is .95, and the probability that operates correctly is 0.92.
a. Find the probability that both devices will operate correctly.
b. Find the probability that the sprinkler system will come on.
c. Find the probability that the sprinkler system will fail.
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