There are two traffic lights on Darlene's route from home to work. Let E denote the event that Darlene must stop at the first light, and define the event F in a similar manner for the second light. Suppose that  P(E) = 0.2,   P(F) = 0.3,  and  P(E ∩ F) = 0.13. (a) What is the probability that Darlene must stop at at least one light; that is, what is the probability of the event  P(E ∪ F)?   (b) What is the probability that Darlene doesn't have to stop at either light?   (c) What is the probability that Darlene must stop at exactly one of the two lights?

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