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7. Suppose that A and B are two events such that P(A)=0.7, and P(B)=0.2. a. Is it possible that P(ANB) = 0.1? b. What

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7. Suppose that A and B are two events such that P(A)=0.7, and P(B)=0.2. a. Is it possible that P(ANB) = 0.1? b. What is the smallest possible value for P(ANB)? Why? c. Is it possible that P(ANB) = 0.8? Why or why not? d. What is the largest possible value for P(ANB)? 4. b Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for defects. Historical records indicate that 8% have defects in shafts only, 6% have defects in bushings only, and 2% have defects in both shafts and bushings. One of the hydraulic assemblies is selected randomly. What is the probability that the assembly has a. A bushing defect? b. A shaft or bushing defect? c. Exactly one of the two types of defects? d. Neither type of defect?

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