Car rental companies have a quick inspection mechanism to check if a car is defective or normally operating. To check if that mechanism is effective, they ran a deep inspection on 1000 cars. The results are described in the table below. Assume that the deep inspection represents the true condition of the car. Deep (Defective) Deep (Norm ally Operating) Quick (Normally Operating) 20 900 (a) (5 pts) What is the probability that you may rent a defective car given that it passed the Quick inspection? (b) (5 pts) You asked to skip the quick inspection to speed up the renting process. What is the probability that you rented a defective car'.' (c) (5 pts) What is the probability that a car passes the quick inspection given that the car is detective? (d) (5 pts) During your visit, 10 cars went through Quick Inspection. Compute the probability that exactly 4 of those 10 cars passed the Quick inspection