When spot-checked for safety, automobiles are found to defective tires 15% of the time, defective lights 25% of the time, and both defective tires and lights 8% of the time. (a) Find the probability that a randomly chosen car has defective lights given that its tires are found to be defective. [Hint: you might try a Venn diagram or a two-way table] (b) Are having defective tires and defective lights independent? Justify your answer.