The scheduling offi cer for a local police department is trying to decide whether to schedule additional patrol units in each of two neighborhoods. She knows that on any given day during the past year, the probabilities of major crimes and minor crimes being committed in the northern neighborhood were 0.478 and 0.602, respectively, and that the corresponding probabilities in the southern neighborhood were 0.350 and 0.523. Assume that major and minor crimes occur independently of each other and likewise that crimes in the two neighborhoods are independent of each other. (a) What is the probability that no crime of either type is committed in the northern neighborhood on a given day? (b) What is the probability that a crime of either type is committed in the southern neighborhood on a given day? (c) What is the probability that no crime of either type is committed in either neighborhood on a given day?
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