At a certain dealership, the probability that a customer purchases an SUV is 0.20.  The probability that a customer purchases a black car is 0.15.  The probability that a customer purchases a black SUV is 0.05.    (a) What is the probability that a customer purchases a black car, given that they purchase an SUV?   (b) Are the events purchases an SUV" and purchases a black car" independent? Justify.

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