At a local auto parts store, the economy crank position sensor may not be the best option for purchase. In the supply of 15 of these sensors at the store 7 are unsuitable for install in a vehicle. a.) Suppose that 5 customers walk in to purchase a crank position sensor of the economy quality; what is the probability that at most one of these customers will end up with a bad sensor? b.) Given the information from a.) assume one of the customers did in fact purchase a defective sensor from the auto parts store. If this customer decides to purchase 2 new sensors, what is the probability that they are both defective? You may assume the stores inventory has not been replenished since the prior purchases and none of the other customers have returned to the store. c.) The company that produces these sensors historically has a 15% rate of defective sensors during production. If this auto parts store receives a new shipment of 30 sensors, what is the probability that there would be more than 4 defective sensors in the shipment?